What is the Greatest Common Factor of 79385 and 79402?

Greatest common factor (GCF) of 79385 and 79402 is 1.

GCF(79385,79402) = 1

We will now calculate the prime factors of 79385 and 79402, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79385 and 79402.

How to find the GCF of 79385 and 79402?

We will first find the prime factorization of 79385 and 79402. After we will calculate the factors of 79385 and 79402 and find the biggest common factor number .

Step-1: Prime Factorization of 79385

Prime factors of 79385 are 5, 15877. Prime factorization of 79385 in exponential form is:

79385 = 5¹ × 15877¹

Step-2: Prime Factorization of 79402

Prime factors of 79402 are 2, 29, 37. Prime factorization of 79402 in exponential form is:

79402 = 2¹ × 29¹ × 37²

Step-3: Factors of 79385

List of positive integer factors of 79385 that divides 79385 without a remainder.

1, 5, 15877

Step-4: Factors of 79402

List of positive integer factors of 79402 that divides 79385 without a remainder.

1, 2, 29, 37, 58, 74, 1073, 1369, 2146, 2738, 39701

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79385 and 79402. The biggest common factor number is the GCF number.
So the greatest common factor 79385 and 79402 is 1.

Also check out the Least Common Multiple of 79385 and 79402