What is the Greatest Common Factor of 79742 and 79748?

Greatest common factor (GCF) of 79742 and 79748 is 2.

GCF(79742,79748) = 2

We will now calculate the prime factors of 79742 and 79748, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79742 and 79748.

How to find the GCF of 79742 and 79748?

We will first find the prime factorization of 79742 and 79748. After we will calculate the factors of 79742 and 79748 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 79748

Prime factors of 79748 are 2, 19937. Prime factorization of 79748 in exponential form is:

79748 = 2² × 19937¹

Step-3: Factors of 79742

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

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

Step-4: Factors of 79748

List of positive integer factors of 79748 that divides 79742 without a remainder.

1, 2, 4, 19937, 39874

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79742 and 79748. The biggest common factor number is the GCF number.
So the greatest common factor 79742 and 79748 is 2.

Also check out the Least Common Multiple of 79742 and 79748