What is the Greatest Common Factor of 79224 and 79242?

Greatest common factor (GCF) of 79224 and 79242 is 6.

GCF(79224,79242) = 6

We will now calculate the prime factors of 79224 and 79242, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79224 and 79242.

How to find the GCF of 79224 and 79242?

We will first find the prime factorization of 79224 and 79242. After we will calculate the factors of 79224 and 79242 and find the biggest common factor number .

Step-1: Prime Factorization of 79224

Prime factors of 79224 are 2, 3, 3301. Prime factorization of 79224 in exponential form is:

79224 = 2³ × 3¹ × 3301¹

Step-2: Prime Factorization of 79242

Prime factors of 79242 are 2, 3, 47, 281. Prime factorization of 79242 in exponential form is:

79242 = 2¹ × 3¹ × 47¹ × 281¹

Step-3: Factors of 79224

List of positive integer factors of 79224 that divides 79224 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 3301, 6602, 9903, 13204, 19806, 26408, 39612

Step-4: Factors of 79242

List of positive integer factors of 79242 that divides 79224 without a remainder.

1, 2, 3, 6, 47, 94, 141, 281, 282, 562, 843, 1686, 13207, 26414, 39621

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79224 and 79242. The biggest common factor number is the GCF number.
So the greatest common factor 79224 and 79242 is 6.

Also check out the Least Common Multiple of 79224 and 79242