What is the Greatest Common Factor of 76479 and 76492?

Greatest common factor (GCF) of 76479 and 76492 is 13.

GCF(76479,76492) = 13

We will now calculate the prime factors of 76479 and 76492, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76479 and 76492.

How to find the GCF of 76479 and 76492?

We will first find the prime factorization of 76479 and 76492. After we will calculate the factors of 76479 and 76492 and find the biggest common factor number .

Step-1: Prime Factorization of 76479

Prime factors of 76479 are 3, 13, 37, 53. Prime factorization of 76479 in exponential form is:

76479 = 3¹ × 13¹ × 37¹ × 53¹

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 76479

List of positive integer factors of 76479 that divides 76479 without a remainder.

1, 3, 13, 37, 39, 53, 111, 159, 481, 689, 1443, 1961, 2067, 5883, 25493

Step-4: Factors of 76492

List of positive integer factors of 76492 that divides 76479 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 76479 and 76492. The biggest common factor number is the GCF number.
So the greatest common factor 76479 and 76492 is 13.

Also check out the Least Common Multiple of 76479 and 76492