What is the Greatest Common Factor of 71862 and 71876?

Greatest common factor (GCF) of 71862 and 71876 is 14.

GCF(71862,71876) = 14

We will now calculate the prime factors of 71862 and 71876, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71862 and 71876.

How to find the GCF of 71862 and 71876?

We will first find the prime factorization of 71862 and 71876. After we will calculate the factors of 71862 and 71876 and find the biggest common factor number .

Step-1: Prime Factorization of 71862

Prime factors of 71862 are 2, 3, 7, 29, 59. Prime factorization of 71862 in exponential form is:

71862 = 2¹ × 3¹ × 7¹ × 29¹ × 59¹

Step-2: Prime Factorization of 71876

Prime factors of 71876 are 2, 7, 17, 151. Prime factorization of 71876 in exponential form is:

71876 = 2² × 7¹ × 17¹ × 151¹

Step-3: Factors of 71862

List of positive integer factors of 71862 that divides 71862 without a remainder.

1, 2, 3, 6, 7, 14, 21, 29, 42, 58, 59, 87, 118, 174, 177, 203, 354, 406, 413, 609, 826, 1218, 1239, 1711, 2478, 3422, 5133, 10266, 11977, 23954, 35931

Step-4: Factors of 71876

List of positive integer factors of 71876 that divides 71862 without a remainder.

1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 151, 238, 302, 476, 604, 1057, 2114, 2567, 4228, 5134, 10268, 17969, 35938

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71862 and 71876. The biggest common factor number is the GCF number.
So the greatest common factor 71862 and 71876 is 14.

Also check out the Least Common Multiple of 71862 and 71876