What is the Greatest Common Factor of 70656 and 70665?

Greatest common factor (GCF) of 70656 and 70665 is 3.

GCF(70656,70665) = 3

We will now calculate the prime factors of 70656 and 70665, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70656 and 70665.

How to find the GCF of 70656 and 70665?

We will first find the prime factorization of 70656 and 70665. After we will calculate the factors of 70656 and 70665 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 70665

Prime factors of 70665 are 3, 5, 7, 673. Prime factorization of 70665 in exponential form is:

70665 = 3¹ × 5¹ × 7¹ × 673¹

Step-3: Factors of 70656

List of positive integer factors of 70656 that divides 70656 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

Step-4: Factors of 70665

List of positive integer factors of 70665 that divides 70656 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105, 673, 2019, 3365, 4711, 10095, 14133, 23555

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70656 and 70665. The biggest common factor number is the GCF number.
So the greatest common factor 70656 and 70665 is 3.

Also check out the Least Common Multiple of 70656 and 70665