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Answer :
To find the greatest common factor of 600 and 330, prime factorize both numbers, identify the common prime factors, and multiply them together to find the GCF.
To find the greatest common factor of 600 and 330 using prime factors:
- Prime factorize both numbers: 600 = 2 * 2 * 2 * 3 * 5 * 5 and 330 = 2 * 3 * 5 * 11
- Identify the common prime factors: 2, 3, and 5
- Multiply the common prime factors together: GCF = 2 * 3 * 5 = 30
Divide by 2: 600 \/ 2 = 300
Divide by 2 again: 300 \/ 2 = 150
Divide by 2 once more: 150 \/ 2 = 75
Divide by 3: 75 \/ 3 = 25
Divide by 5: 25 \/ 5 = 5
And divide by 5 one last time: 5 \/ 5 = 1
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