What is the Greatest Common Factor of 79756 and 79770?

Greatest common factor (GCF) of 79756 and 79770 is 2.

GCF(79756,79770) = 2

We will now calculate the prime factors of 79756 and 79770, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79756 and 79770.

How to find the GCF of 79756 and 79770?

We will first find the prime factorization of 79756 and 79770. After we will calculate the factors of 79756 and 79770 and find the biggest common factor number .

Step-1: Prime Factorization of 79756

Prime factors of 79756 are 2, 127, 157. Prime factorization of 79756 in exponential form is:

79756 = 2² × 127¹ × 157¹

Step-2: Prime Factorization of 79770

Prime factors of 79770 are 2, 3, 5, 2659. Prime factorization of 79770 in exponential form is:

79770 = 2¹ × 3¹ × 5¹ × 2659¹

Step-3: Factors of 79756

List of positive integer factors of 79756 that divides 79756 without a remainder.

1, 2, 4, 127, 157, 254, 314, 508, 628, 19939, 39878

Step-4: Factors of 79770

List of positive integer factors of 79770 that divides 79756 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 2659, 5318, 7977, 13295, 15954, 26590, 39885

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79756 and 79770. The biggest common factor number is the GCF number.
So the greatest common factor 79756 and 79770 is 2.

Also check out the Least Common Multiple of 79756 and 79770