What is the Greatest Common Factor of 79749 and 79764?

Greatest common factor (GCF) of 79749 and 79764 is 3.

GCF(79749,79764) = 3

We will now calculate the prime factors of 79749 and 79764, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79749 and 79764.

How to find the GCF of 79749 and 79764?

We will first find the prime factorization of 79749 and 79764. After we will calculate the factors of 79749 and 79764 and find the biggest common factor number .

Step-1: Prime Factorization of 79749

Prime factors of 79749 are 3, 8861. Prime factorization of 79749 in exponential form is:

79749 = 3² × 8861¹

Step-2: Prime Factorization of 79764

Prime factors of 79764 are 2, 3, 17, 23. Prime factorization of 79764 in exponential form is:

79764 = 2² × 3¹ × 17² × 23¹

Step-3: Factors of 79749

List of positive integer factors of 79749 that divides 79749 without a remainder.

1, 3, 9, 8861, 26583

Step-4: Factors of 79764

List of positive integer factors of 79764 that divides 79749 without a remainder.

1, 2, 3, 4, 6, 12, 17, 23, 34, 46, 51, 68, 69, 92, 102, 138, 204, 276, 289, 391, 578, 782, 867, 1156, 1173, 1564, 1734, 2346, 3468, 4692, 6647, 13294, 19941, 26588, 39882

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79749 and 79764. The biggest common factor number is the GCF number.
So the greatest common factor 79749 and 79764 is 3.

Also check out the Least Common Multiple of 79749 and 79764