What is the Greatest Common Factor of 79476 and 79494?

Greatest common factor (GCF) of 79476 and 79494 is 6.

GCF(79476,79494) = 6

We will now calculate the prime factors of 79476 and 79494, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79476 and 79494.

How to find the GCF of 79476 and 79494?

We will first find the prime factorization of 79476 and 79494. After we will calculate the factors of 79476 and 79494 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 79494

Prime factors of 79494 are 2, 3, 13249. Prime factorization of 79494 in exponential form is:

79494 = 2¹ × 3¹ × 13249¹

Step-3: Factors of 79476

List of positive integer factors of 79476 that divides 79476 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

Step-4: Factors of 79494

List of positive integer factors of 79494 that divides 79476 without a remainder.

1, 2, 3, 6, 13249, 26498, 39747

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79476 and 79494. The biggest common factor number is the GCF number.
So the greatest common factor 79476 and 79494 is 6.

Also check out the Least Common Multiple of 79476 and 79494