What is the Greatest Common Factor of 79729 and 79742?

Greatest common factor (GCF) of 79729 and 79742 is 13.

GCF(79729,79742) = 13

We will now calculate the prime factors of 79729 and 79742, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79729 and 79742.

How to find the GCF of 79729 and 79742?

We will first find the prime factorization of 79729 and 79742. After we will calculate the factors of 79729 and 79742 and find the biggest common factor number .

Step-1: Prime Factorization of 79729

Prime factors of 79729 are 13, 6133. Prime factorization of 79729 in exponential form is:

79729 = 13¹ × 6133¹

Step-2: Prime Factorization of 79742

Prime factors of 79742 are 2, 13, 3067. Prime factorization of 79742 in exponential form is:

79742 = 2¹ × 13¹ × 3067¹

Step-3: Factors of 79729

List of positive integer factors of 79729 that divides 79729 without a remainder.

1, 13, 6133

Step-4: Factors of 79742

List of positive integer factors of 79742 that divides 79729 without a remainder.

1, 2, 13, 26, 3067, 6134, 39871

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79729 and 79742. The biggest common factor number is the GCF number.
So the greatest common factor 79729 and 79742 is 13.

Also check out the Least Common Multiple of 79729 and 79742