What is the Greatest Common Factor of 70896 and 70914?

Greatest common factor (GCF) of 70896 and 70914 is 6.

GCF(70896,70914) = 6

We will now calculate the prime factors of 70896 and 70914, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70896 and 70914.

How to find the GCF of 70896 and 70914?

We will first find the prime factorization of 70896 and 70914. After we will calculate the factors of 70896 and 70914 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 70914

Prime factors of 70914 are 2, 3, 53, 223. Prime factorization of 70914 in exponential form is:

70914 = 2¹ × 3¹ × 53¹ × 223¹

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 70914

List of positive integer factors of 70914 that divides 70896 without a remainder.

1, 2, 3, 6, 53, 106, 159, 223, 318, 446, 669, 1338, 11819, 23638, 35457

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70896 and 70914. The biggest common factor number is the GCF number.
So the greatest common factor 70896 and 70914 is 6.

Also check out the Least Common Multiple of 70896 and 70914