What is the Greatest Common Factor of 79424 and 79437?

Greatest common factor (GCF) of 79424 and 79437 is 1.

GCF(79424,79437) = 1

We will now calculate the prime factors of 79424 and 79437, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79424 and 79437.

How to find the GCF of 79424 and 79437?

We will first find the prime factorization of 79424 and 79437. After we will calculate the factors of 79424 and 79437 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 79437

Prime factors of 79437 are 3, 26479. Prime factorization of 79437 in exponential form is:

79437 = 3¹ × 26479¹

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 79437

List of positive integer factors of 79437 that divides 79424 without a remainder.

1, 3, 26479

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79424 and 79437. The biggest common factor number is the GCF number.
So the greatest common factor 79424 and 79437 is 1.

Also check out the Least Common Multiple of 79424 and 79437