What is the Greatest Common Factor of 79720 and 79738?

Greatest common factor (GCF) of 79720 and 79738 is 2.

GCF(79720,79738) = 2

We will now calculate the prime factors of 79720 and 79738, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79720 and 79738.

How to find the GCF of 79720 and 79738?

We will first find the prime factorization of 79720 and 79738. After we will calculate the factors of 79720 and 79738 and find the biggest common factor number .

Step-1: Prime Factorization of 79720

Prime factors of 79720 are 2, 5, 1993. Prime factorization of 79720 in exponential form is:

79720 = 2³ × 5¹ × 1993¹

Step-2: Prime Factorization of 79738

Prime factors of 79738 are 2, 39869. Prime factorization of 79738 in exponential form is:

79738 = 2¹ × 39869¹

Step-3: Factors of 79720

List of positive integer factors of 79720 that divides 79720 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 1993, 3986, 7972, 9965, 15944, 19930, 39860

Step-4: Factors of 79738

List of positive integer factors of 79738 that divides 79720 without a remainder.

1, 2, 39869

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79720 and 79738. The biggest common factor number is the GCF number.
So the greatest common factor 79720 and 79738 is 2.

Also check out the Least Common Multiple of 79720 and 79738