What is the Greatest Common Factor of 79461 and 79476?

Greatest common factor (GCF) of 79461 and 79476 is 3.

GCF(79461,79476) = 3

We will now calculate the prime factors of 79461 and 79476, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79461 and 79476.

How to find the GCF of 79461 and 79476?

We will first find the prime factorization of 79461 and 79476. After we will calculate the factors of 79461 and 79476 and find the biggest common factor number .

Step-1: Prime Factorization of 79461

Prime factors of 79461 are 3, 109. Prime factorization of 79461 in exponential form is:

79461 = 3⁶ × 109¹

Step-2: Prime Factorization of 79476

Prime factors of 79476 are 2, 3, 37, 179. Prime factorization of 79476 in exponential form is:

79476 = 2² × 3¹ × 37¹ × 179¹

Step-3: Factors of 79461

List of positive integer factors of 79461 that divides 79461 without a remainder.

1, 3, 9, 27, 81, 109, 243, 327, 729, 981, 2943, 8829, 26487

Step-4: Factors of 79476

List of positive integer factors of 79476 that divides 79461 without a remainder.

1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 179, 222, 358, 444, 537, 716, 1074, 2148, 6623, 13246, 19869, 26492, 39738

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79461 and 79476. The biggest common factor number is the GCF number.
So the greatest common factor 79461 and 79476 is 3.

Also check out the Least Common Multiple of 79461 and 79476