What is the Greatest Common Factor of 76472 and 76492?

Greatest common factor (GCF) of 76472 and 76492 is 4.

GCF(76472,76492) = 4

We will now calculate the prime factors of 76472 and 76492, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76472 and 76492.

How to find the GCF of 76472 and 76492?

We will first find the prime factorization of 76472 and 76492. After we will calculate the factors of 76472 and 76492 and find the biggest common factor number .

Step-1: Prime Factorization of 76472

Prime factors of 76472 are 2, 11, 79. Prime factorization of 76472 in exponential form is:

76472 = 2³ × 11² × 79¹

Step-2: Prime Factorization of 76492

Prime factors of 76492 are 2, 13, 1471. Prime factorization of 76492 in exponential form is:

76492 = 2² × 13¹ × 1471¹

Step-3: Factors of 76472

List of positive integer factors of 76472 that divides 76472 without a remainder.

1, 2, 4, 8, 11, 22, 44, 79, 88, 121, 158, 242, 316, 484, 632, 869, 968, 1738, 3476, 6952, 9559, 19118, 38236

Step-4: Factors of 76492

List of positive integer factors of 76492 that divides 76472 without a remainder.

1, 2, 4, 13, 26, 52, 1471, 2942, 5884, 19123, 38246

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76472 and 76492. The biggest common factor number is the GCF number.
So the greatest common factor 76472 and 76492 is 4.

Also check out the Least Common Multiple of 76472 and 76492