What is the Greatest Common Factor of 76744 and 76764?

Greatest common factor (GCF) of 76744 and 76764 is 4.

GCF(76744,76764) = 4

We will now calculate the prime factors of 76744 and 76764, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76744 and 76764.

How to find the GCF of 76744 and 76764?

We will first find the prime factorization of 76744 and 76764. After we will calculate the factors of 76744 and 76764 and find the biggest common factor number .

Step-1: Prime Factorization of 76744

Prime factors of 76744 are 2, 53, 181. Prime factorization of 76744 in exponential form is:

76744 = 2³ × 53¹ × 181¹

Step-2: Prime Factorization of 76764

Prime factors of 76764 are 2, 3, 6397. Prime factorization of 76764 in exponential form is:

76764 = 2² × 3¹ × 6397¹

Step-3: Factors of 76744

List of positive integer factors of 76744 that divides 76744 without a remainder.

1, 2, 4, 8, 53, 106, 181, 212, 362, 424, 724, 1448, 9593, 19186, 38372

Step-4: Factors of 76764

List of positive integer factors of 76764 that divides 76744 without a remainder.

1, 2, 3, 4, 6, 12, 6397, 12794, 19191, 25588, 38382

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76744 and 76764. The biggest common factor number is the GCF number.
So the greatest common factor 76744 and 76764 is 4.

Also check out the Least Common Multiple of 76744 and 76764