What is the Greatest Common Factor of 79424 and 79432?

Greatest common factor (GCF) of 79424 and 79432 is 8.

GCF(79424,79432) = 8

We will now calculate the prime factors of 79424 and 79432, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79424 and 79432.

How to find the GCF of 79424 and 79432?

We will first find the prime factorization of 79424 and 79432. After we will calculate the factors of 79424 and 79432 and find the biggest common factor number .

Step-1: Prime Factorization of 79424

Prime factors of 79424 are 2, 17, 73. Prime factorization of 79424 in exponential form is:

79424 = 2⁶ × 17¹ × 73¹

Step-2: Prime Factorization of 79432

Prime factors of 79432 are 2, 9929. Prime factorization of 79432 in exponential form is:

79432 = 2³ × 9929¹

Step-3: Factors of 79424

List of positive integer factors of 79424 that divides 79424 without a remainder.

1, 2, 4, 8, 16, 17, 32, 34, 64, 68, 73, 136, 146, 272, 292, 544, 584, 1088, 1168, 1241, 2336, 2482, 4672, 4964, 9928, 19856, 39712

Step-4: Factors of 79432

List of positive integer factors of 79432 that divides 79424 without a remainder.

1, 2, 4, 8, 9929, 19858, 39716

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79424 and 79432. The biggest common factor number is the GCF number.
So the greatest common factor 79424 and 79432 is 8.

Also check out the Least Common Multiple of 79424 and 79432