What is the Greatest Common Factor of 76895 and 76902?

Greatest common factor (GCF) of 76895 and 76902 is 7.

GCF(76895,76902) = 7

We will now calculate the prime factors of 76895 and 76902, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76895 and 76902.

How to find the GCF of 76895 and 76902?

We will first find the prime factorization of 76895 and 76902. After we will calculate the factors of 76895 and 76902 and find the biggest common factor number .

Step-1: Prime Factorization of 76895

Prime factors of 76895 are 5, 7, 13. Prime factorization of 76895 in exponential form is:

76895 = 5¹ × 7¹ × 13³

Step-2: Prime Factorization of 76902

Prime factors of 76902 are 2, 3, 7, 1831. Prime factorization of 76902 in exponential form is:

76902 = 2¹ × 3¹ × 7¹ × 1831¹

Step-3: Factors of 76895

List of positive integer factors of 76895 that divides 76895 without a remainder.

1, 5, 7, 13, 35, 65, 91, 169, 455, 845, 1183, 2197, 5915, 10985, 15379

Step-4: Factors of 76902

List of positive integer factors of 76902 that divides 76895 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 1831, 3662, 5493, 10986, 12817, 25634, 38451

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76895 and 76902. The biggest common factor number is the GCF number.
So the greatest common factor 76895 and 76902 is 7.

Also check out the Least Common Multiple of 76895 and 76902