What is the Greatest Common Factor of 70886 and 70896?

Greatest common factor (GCF) of 70886 and 70896 is 2.

GCF(70886,70896) = 2

We will now calculate the prime factors of 70886 and 70896, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70886 and 70896.

How to find the GCF of 70886 and 70896?

We will first find the prime factorization of 70886 and 70896. After we will calculate the factors of 70886 and 70896 and find the biggest common factor number .

Step-1: Prime Factorization of 70886

Prime factors of 70886 are 2, 23, 67. Prime factorization of 70886 in exponential form is:

70886 = 2¹ × 23² × 67¹

Step-2: 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-3: Factors of 70886

List of positive integer factors of 70886 that divides 70886 without a remainder.

1, 2, 23, 46, 67, 134, 529, 1058, 1541, 3082, 35443

Step-4: Factors of 70896

List of positive integer factors of 70896 that divides 70886 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70886 and 70896. The biggest common factor number is the GCF number.
So the greatest common factor 70886 and 70896 is 2.

Also check out the Least Common Multiple of 70886 and 70896