What is the Greatest Common Factor of 79737 and 79749?

Greatest common factor (GCF) of 79737 and 79749 is 3.

GCF(79737,79749) = 3

We will now calculate the prime factors of 79737 and 79749, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79737 and 79749.

How to find the GCF of 79737 and 79749?

We will first find the prime factorization of 79737 and 79749. After we will calculate the factors of 79737 and 79749 and find the biggest common factor number .

Step-1: Prime Factorization of 79737

Prime factors of 79737 are 3, 7, 3797. Prime factorization of 79737 in exponential form is:

79737 = 3¹ × 7¹ × 3797¹

Step-2: Prime Factorization of 79749

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

79749 = 3² × 8861¹

Step-3: Factors of 79737

List of positive integer factors of 79737 that divides 79737 without a remainder.

1, 3, 7, 21, 3797, 11391, 26579

Step-4: Factors of 79749

List of positive integer factors of 79749 that divides 79737 without a remainder.

1, 3, 9, 8861, 26583

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79737 and 79749. The biggest common factor number is the GCF number.
So the greatest common factor 79737 and 79749 is 3.

Also check out the Least Common Multiple of 79737 and 79749