What is the Greatest Common Factor of 76842 and 76857?

Greatest common factor (GCF) of 76842 and 76857 is 3.

GCF(76842,76857) = 3

We will now calculate the prime factors of 76842 and 76857, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76842 and 76857.

How to find the GCF of 76842 and 76857?

We will first find the prime factorization of 76842 and 76857. After we will calculate the factors of 76842 and 76857 and find the biggest common factor number .

Step-1: Prime Factorization of 76842

Prime factors of 76842 are 2, 3, 1423. Prime factorization of 76842 in exponential form is:

76842 = 2¹ × 3³ × 1423¹

Step-2: 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-3: Factors of 76842

List of positive integer factors of 76842 that divides 76842 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 1423, 2846, 4269, 8538, 12807, 25614, 38421

Step-4: Factors of 76857

List of positive integer factors of 76857 that divides 76842 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76842 and 76857. The biggest common factor number is the GCF number.
So the greatest common factor 76842 and 76857 is 3.

Also check out the Least Common Multiple of 76842 and 76857