What is the Greatest Common Factor of 70641 and 70656?

Greatest common factor (GCF) of 70641 and 70656 is 3.

GCF(70641,70656) = 3

We will now calculate the prime factors of 70641 and 70656, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70641 and 70656.

How to find the GCF of 70641 and 70656?

We will first find the prime factorization of 70641 and 70656. After we will calculate the factors of 70641 and 70656 and find the biggest common factor number .

Step-1: Prime Factorization of 70641

Prime factors of 70641 are 3, 47, 167. Prime factorization of 70641 in exponential form is:

70641 = 3² × 47¹ × 167¹

Step-2: Prime Factorization of 70656

Prime factors of 70656 are 2, 3, 23. Prime factorization of 70656 in exponential form is:

70656 = 2¹⁰ × 3¹ × 23¹

Step-3: Factors of 70641

List of positive integer factors of 70641 that divides 70641 without a remainder.

1, 3, 9, 47, 141, 167, 423, 501, 1503, 7849, 23547

Step-4: Factors of 70656

List of positive integer factors of 70656 that divides 70641 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 23, 24, 32, 46, 48, 64, 69, 92, 96, 128, 138, 184, 192, 256, 276, 368, 384, 512, 552, 736, 768, 1024, 1104, 1472, 1536, 2208, 2944, 3072, 4416, 5888, 8832, 11776, 17664, 23552, 35328

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70641 and 70656. The biggest common factor number is the GCF number.
So the greatest common factor 70641 and 70656 is 3.

Also check out the Least Common Multiple of 70641 and 70656