What is the Greatest Common Factor of 70644 and 70656?

Greatest common factor (GCF) of 70644 and 70656 is 12.

GCF(70644,70656) = 12

We will now calculate the prime factors of 70644 and 70656, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70644 and 70656.

How to find the GCF of 70644 and 70656?

We will first find the prime factorization of 70644 and 70656. After we will calculate the factors of 70644 and 70656 and find the biggest common factor number .

Step-1: Prime Factorization of 70644

Prime factors of 70644 are 2, 3, 7, 29. Prime factorization of 70644 in exponential form is:

70644 = 2² × 3¹ × 7¹ × 29²

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 70644

List of positive integer factors of 70644 that divides 70644 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 29, 42, 58, 84, 87, 116, 174, 203, 348, 406, 609, 812, 841, 1218, 1682, 2436, 2523, 3364, 5046, 5887, 10092, 11774, 17661, 23548, 35322

Step-4: Factors of 70656

List of positive integer factors of 70656 that divides 70644 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 70644 and 70656. The biggest common factor number is the GCF number.
So the greatest common factor 70644 and 70656 is 12.

Also check out the Least Common Multiple of 70644 and 70656