What is the Greatest Common Factor of 79625 and 79643?

Greatest common factor (GCF) of 79625 and 79643 is 1.

GCF(79625,79643) = 1

We will now calculate the prime factors of 79625 and 79643, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79625 and 79643.

How to find the GCF of 79625 and 79643?

We will first find the prime factorization of 79625 and 79643. After we will calculate the factors of 79625 and 79643 and find the biggest common factor number .

Step-1: Prime Factorization of 79625

Prime factors of 79625 are 5, 7, 13. Prime factorization of 79625 in exponential form is:

79625 = 5³ × 7² × 13¹

Step-2: Prime Factorization of 79643

Prime factors of 79643 are 73, 1091. Prime factorization of 79643 in exponential form is:

79643 = 73¹ × 1091¹

Step-3: Factors of 79625

List of positive integer factors of 79625 that divides 79625 without a remainder.

1, 5, 7, 13, 25, 35, 49, 65, 91, 125, 175, 245, 325, 455, 637, 875, 1225, 1625, 2275, 3185, 6125, 11375, 15925

Step-4: Factors of 79643

List of positive integer factors of 79643 that divides 79625 without a remainder.

1, 73, 1091

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79625 and 79643. The biggest common factor number is the GCF number.
So the greatest common factor 79625 and 79643 is 1.

Also check out the Least Common Multiple of 79625 and 79643