What is the Greatest Common Factor of 76857 and 76868?

Greatest common factor (GCF) of 76857 and 76868 is 11.

GCF(76857,76868) = 11

We will now calculate the prime factors of 76857 and 76868, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76857 and 76868.

How to find the GCF of 76857 and 76868?

We will first find the prime factorization of 76857 and 76868. After we will calculate the factors of 76857 and 76868 and find the biggest common factor number .

Step-1: Prime Factorization of 76857

Prime factors of 76857 are 3, 11, 17, 137. Prime factorization of 76857 in exponential form is:

76857 = 3¹ × 11¹ × 17¹ × 137¹

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 76857

List of positive integer factors of 76857 that divides 76857 without a remainder.

1, 3, 11, 17, 33, 51, 137, 187, 411, 561, 1507, 2329, 4521, 6987, 25619

Step-4: Factors of 76868

List of positive integer factors of 76868 that divides 76857 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 76857 and 76868. The biggest common factor number is the GCF number.
So the greatest common factor 76857 and 76868 is 11.

Also check out the Least Common Multiple of 76857 and 76868