What is the Greatest Common Factor of 70896 and 70904?

Greatest common factor (GCF) of 70896 and 70904 is 8.

GCF(70896,70904) = 8

We will now calculate the prime factors of 70896 and 70904, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70896 and 70904.

How to find the GCF of 70896 and 70904?

We will first find the prime factorization of 70896 and 70904. After we will calculate the factors of 70896 and 70904 and find the biggest common factor number .

Step-1: Prime Factorization of 70896

Prime factors of 70896 are 2, 3, 7, 211. Prime factorization of 70896 in exponential form is:

70896 = 2⁴ × 3¹ × 7¹ × 211¹

Step-2: Prime Factorization of 70904

Prime factors of 70904 are 2, 8863. Prime factorization of 70904 in exponential form is:

70904 = 2³ × 8863¹

Step-3: Factors of 70896

List of positive integer factors of 70896 that divides 70896 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 211, 336, 422, 633, 844, 1266, 1477, 1688, 2532, 2954, 3376, 4431, 5064, 5908, 8862, 10128, 11816, 17724, 23632, 35448

Step-4: Factors of 70904

List of positive integer factors of 70904 that divides 70896 without a remainder.

1, 2, 4, 8, 8863, 17726, 35452

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70896 and 70904. The biggest common factor number is the GCF number.
So the greatest common factor 70896 and 70904 is 8.

Also check out the Least Common Multiple of 70896 and 70904