What is the Greatest Common Factor of 79734 and 79752?

Greatest common factor (GCF) of 79734 and 79752 is 6.

GCF(79734,79752) = 6

We will now calculate the prime factors of 79734 and 79752, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79734 and 79752.

How to find the GCF of 79734 and 79752?

We will first find the prime factorization of 79734 and 79752. After we will calculate the factors of 79734 and 79752 and find the biggest common factor number .

Step-1: Prime Factorization of 79734

Prime factors of 79734 are 2, 3, 97, 137. Prime factorization of 79734 in exponential form is:

79734 = 2¹ × 3¹ × 97¹ × 137¹

Step-2: 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-3: Factors of 79734

List of positive integer factors of 79734 that divides 79734 without a remainder.

1, 2, 3, 6, 97, 137, 194, 274, 291, 411, 582, 822, 13289, 26578, 39867

Step-4: Factors of 79752

List of positive integer factors of 79752 that divides 79734 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79734 and 79752. The biggest common factor number is the GCF number.
So the greatest common factor 79734 and 79752 is 6.

Also check out the Least Common Multiple of 79734 and 79752