What is the Greatest Common Factor of 79467 and 79476?

Greatest common factor (GCF) of 79467 and 79476 is 3.

GCF(79467,79476) = 3

We will now calculate the prime factors of 79467 and 79476, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79467 and 79476.

How to find the GCF of 79467 and 79476?

We will first find the prime factorization of 79467 and 79476. After we will calculate the factors of 79467 and 79476 and find the biggest common factor number .

Step-1: Prime Factorization of 79467

Prime factors of 79467 are 3, 26489. Prime factorization of 79467 in exponential form is:

79467 = 3¹ × 26489¹

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 79467

List of positive integer factors of 79467 that divides 79467 without a remainder.

1, 3, 26489

Step-4: Factors of 79476

List of positive integer factors of 79476 that divides 79467 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 79467 and 79476. The biggest common factor number is the GCF number.
So the greatest common factor 79467 and 79476 is 3.

Also check out the Least Common Multiple of 79467 and 79476