What is the Greatest Common Factor of 79768 and 79781?

Greatest common factor (GCF) of 79768 and 79781 is 13.

GCF(79768,79781) = 13

We will now calculate the prime factors of 79768 and 79781, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79768 and 79781.

How to find the GCF of 79768 and 79781?

We will first find the prime factorization of 79768 and 79781. After we will calculate the factors of 79768 and 79781 and find the biggest common factor number .

Step-1: Prime Factorization of 79768

Prime factors of 79768 are 2, 13, 59. Prime factorization of 79768 in exponential form is:

79768 = 2³ × 13² × 59¹

Step-2: Prime Factorization of 79781

Prime factors of 79781 are 13, 17, 19. Prime factorization of 79781 in exponential form is:

79781 = 13¹ × 17¹ × 19²

Step-3: Factors of 79768

List of positive integer factors of 79768 that divides 79768 without a remainder.

1, 2, 4, 8, 13, 26, 52, 59, 104, 118, 169, 236, 338, 472, 676, 767, 1352, 1534, 3068, 6136, 9971, 19942, 39884

Step-4: Factors of 79781

List of positive integer factors of 79781 that divides 79768 without a remainder.

1, 13, 17, 19, 221, 247, 323, 361, 4199, 4693, 6137

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79768 and 79781. The biggest common factor number is the GCF number.
So the greatest common factor 79768 and 79781 is 13.

Also check out the Least Common Multiple of 79768 and 79781