What is the Greatest Common Factor of 656 and 660?
Greatest common factor (GCF) of 656 and 660 is 4.
GCF(656,660) = 4
We will now calculate the prime factors of 656 and 660, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 656 and 660.
How to find the GCF of 656 and 660?
We will first find the prime factorization of 656 and 660. After we will calculate the factors of 656 and 660 and find the biggest common factor number .
Step-1: Prime Factorization of 656
Prime factors of 656 are 2, 41. Prime factorization of 656 in exponential form is:
656 = 24 × 411
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 656
List of positive integer factors of 656 that divides 656 without a remainder.
1, 2, 4, 8, 16, 41, 82, 164, 328
Step-4: Factors of 660
List of positive integer factors of 660 that divides 656 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 656 and 660. The biggest common factor number is the GCF number.
So the greatest common factor 656 and 660 is 4.
Also check out the Least Common Multiple of 656 and 660
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