What is the Greatest Common Factor of 651 and 660?
Greatest common factor (GCF) of 651 and 660 is 3.
GCF(651,660) = 3
We will now calculate the prime factors of 651 and 660, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 651 and 660.
How to find the GCF of 651 and 660?
We will first find the prime factorization of 651 and 660. After we will calculate the factors of 651 and 660 and find the biggest common factor number .
Step-1: Prime Factorization of 651
Prime factors of 651 are 3, 7, 31. Prime factorization of 651 in exponential form is:
651 = 31 × 71 × 311
Step-2: Prime Factorization of 660
Prime factors of 660 are 2, 3, 5, 11. Prime factorization of 660 in exponential form is:
660 = 22 × 31 × 51 × 111
Step-3: Factors of 651
List of positive integer factors of 651 that divides 651 without a remainder.
1, 3, 7, 21, 31, 93, 217
Step-4: Factors of 660
List of positive integer factors of 660 that divides 651 without a remainder.
1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 651 and 660. The biggest common factor number is the GCF number.
So the greatest common factor 651 and 660 is 3.
Also check out the Least Common Multiple of 651 and 660
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