What is the Greatest Common Factor of 76868 and 76879?

Greatest common factor (GCF) of 76868 and 76879 is 11.

GCF(76868,76879) = 11

We will now calculate the prime factors of 76868 and 76879, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76868 and 76879.

How to find the GCF of 76868 and 76879?

We will first find the prime factorization of 76868 and 76879. After we will calculate the factors of 76868 and 76879 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 76879

Prime factors of 76879 are 11, 29, 241. Prime factorization of 76879 in exponential form is:

76879 = 11¹ × 29¹ × 241¹

Step-3: Factors of 76868

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

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

Step-4: Factors of 76879

List of positive integer factors of 76879 that divides 76868 without a remainder.

1, 11, 29, 241, 319, 2651, 6989

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76868 and 76879. The biggest common factor number is the GCF number.
So the greatest common factor 76868 and 76879 is 11.

Also check out the Least Common Multiple of 76868 and 76879