What is the Greatest Common Factor of 79752 and 79770?

Greatest common factor (GCF) of 79752 and 79770 is 6.

GCF(79752,79770) = 6

We will now calculate the prime factors of 79752 and 79770, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79752 and 79770.

How to find the GCF of 79752 and 79770?

We will first find the prime factorization of 79752 and 79770. After we will calculate the factors of 79752 and 79770 and find the biggest common factor number .

Step-1: Prime Factorization of 79752

Prime factors of 79752 are 2, 3, 3323. Prime factorization of 79752 in exponential form is:

79752 = 2³ × 3¹ × 3323¹

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 79752

List of positive integer factors of 79752 that divides 79752 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 3323, 6646, 9969, 13292, 19938, 26584, 39876

Step-4: Factors of 79770

List of positive integer factors of 79770 that divides 79752 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 79752 and 79770. The biggest common factor number is the GCF number.
So the greatest common factor 79752 and 79770 is 6.

Also check out the Least Common Multiple of 79752 and 79770