What is the Greatest Common Factor of 79375 and 79394?

Greatest common factor (GCF) of 79375 and 79394 is 1.

GCF(79375,79394) = 1

We will now calculate the prime factors of 79375 and 79394, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79375 and 79394.

How to find the GCF of 79375 and 79394?

We will first find the prime factorization of 79375 and 79394. After we will calculate the factors of 79375 and 79394 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 79394

Prime factors of 79394 are 2, 7, 53, 107. Prime factorization of 79394 in exponential form is:

79394 = 2¹ × 7¹ × 53¹ × 107¹

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 79394

List of positive integer factors of 79394 that divides 79375 without a remainder.

1, 2, 7, 14, 53, 106, 107, 214, 371, 742, 749, 1498, 5671, 11342, 39697

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79375 and 79394. The biggest common factor number is the GCF number.
So the greatest common factor 79375 and 79394 is 1.

Also check out the Least Common Multiple of 79375 and 79394