What is the Greatest Common Factor of 79375 and 79382?

Greatest common factor (GCF) of 79375 and 79382 is 1.

GCF(79375,79382) = 1

We will now calculate the prime factors of 79375 and 79382, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79375 and 79382.

How to find the GCF of 79375 and 79382?

We will first find the prime factorization of 79375 and 79382. After we will calculate the factors of 79375 and 79382 and find the biggest common factor number .

Step-1: Prime Factorization of 79375

Prime factors of 79375 are 5, 127. Prime factorization of 79375 in exponential form is:

79375 = 5⁴ × 127¹

Step-2: Prime Factorization of 79382

Prime factors of 79382 are 2, 19, 2089. Prime factorization of 79382 in exponential form is:

79382 = 2¹ × 19¹ × 2089¹

Step-3: Factors of 79375

List of positive integer factors of 79375 that divides 79375 without a remainder.

1, 5, 25, 125, 127, 625, 635, 3175, 15875

Step-4: Factors of 79382

List of positive integer factors of 79382 that divides 79375 without a remainder.

1, 2, 19, 38, 2089, 4178, 39691

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79375 and 79382. The biggest common factor number is the GCF number.
So the greatest common factor 79375 and 79382 is 1.

Also check out the Least Common Multiple of 79375 and 79382