What is the Greatest Common Factor of 70882 and 70896?

Greatest common factor (GCF) of 70882 and 70896 is 14.

GCF(70882,70896) = 14

We will now calculate the prime factors of 70882 and 70896, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70882 and 70896.

How to find the GCF of 70882 and 70896?

We will first find the prime factorization of 70882 and 70896. After we will calculate the factors of 70882 and 70896 and find the biggest common factor number .

Step-1: Prime Factorization of 70882

Prime factors of 70882 are 2, 7, 61, 83. Prime factorization of 70882 in exponential form is:

70882 = 2¹ × 7¹ × 61¹ × 83¹

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 70882

List of positive integer factors of 70882 that divides 70882 without a remainder.

1, 2, 7, 14, 61, 83, 122, 166, 427, 581, 854, 1162, 5063, 10126, 35441

Step-4: Factors of 70896

List of positive integer factors of 70896 that divides 70882 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 70882 and 70896. The biggest common factor number is the GCF number.
So the greatest common factor 70882 and 70896 is 14.

Also check out the Least Common Multiple of 70882 and 70896