What is the Greatest Common Factor of 76862 and 76868?

Greatest common factor (GCF) of 76862 and 76868 is 2.

GCF(76862,76868) = 2

We will now calculate the prime factors of 76862 and 76868, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76862 and 76868.

How to find the GCF of 76862 and 76868?

We will first find the prime factorization of 76862 and 76868. After we will calculate the factors of 76862 and 76868 and find the biggest common factor number .

Step-1: Prime Factorization of 76862

Prime factors of 76862 are 2, 38431. Prime factorization of 76862 in exponential form is:

76862 = 2¹ × 38431¹

Step-2: Prime Factorization of 76868

Prime factors of 76868 are 2, 11, 1747. Prime factorization of 76868 in exponential form is:

76868 = 2² × 11¹ × 1747¹

Step-3: Factors of 76862

List of positive integer factors of 76862 that divides 76862 without a remainder.

1, 2, 38431

Step-4: Factors of 76868

List of positive integer factors of 76868 that divides 76862 without a remainder.

1, 2, 4, 11, 22, 44, 1747, 3494, 6988, 19217, 38434

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76862 and 76868. The biggest common factor number is the GCF number.
So the greatest common factor 76862 and 76868 is 2.

Also check out the Least Common Multiple of 76862 and 76868