What is the Greatest Common Factor of 76714 and 76722?

Greatest common factor (GCF) of 76714 and 76722 is 2.

GCF(76714,76722) = 2

We will now calculate the prime factors of 76714 and 76722, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76714 and 76722.

How to find the GCF of 76714 and 76722?

We will first find the prime factorization of 76714 and 76722. After we will calculate the factors of 76714 and 76722 and find the biggest common factor number .

Step-1: Prime Factorization of 76714

Prime factors of 76714 are 2, 11, 317. Prime factorization of 76714 in exponential form is:

76714 = 2¹ × 11² × 317¹

Step-2: Prime Factorization of 76722

Prime factors of 76722 are 2, 3, 19, 673. Prime factorization of 76722 in exponential form is:

76722 = 2¹ × 3¹ × 19¹ × 673¹

Step-3: Factors of 76714

List of positive integer factors of 76714 that divides 76714 without a remainder.

1, 2, 11, 22, 121, 242, 317, 634, 3487, 6974, 38357

Step-4: Factors of 76722

List of positive integer factors of 76722 that divides 76714 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114, 673, 1346, 2019, 4038, 12787, 25574, 38361

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76714 and 76722. The biggest common factor number is the GCF number.
So the greatest common factor 76714 and 76722 is 2.

Also check out the Least Common Multiple of 76714 and 76722