What is the Greatest Common Factor of 79705 and 79725?

Greatest common factor (GCF) of 79705 and 79725 is 5.

GCF(79705,79725) = 5

We will now calculate the prime factors of 79705 and 79725, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79705 and 79725.

How to find the GCF of 79705 and 79725?

We will first find the prime factorization of 79705 and 79725. After we will calculate the factors of 79705 and 79725 and find the biggest common factor number .

Step-1: Prime Factorization of 79705

Prime factors of 79705 are 5, 19, 839. Prime factorization of 79705 in exponential form is:

79705 = 5¹ × 19¹ × 839¹

Step-2: Prime Factorization of 79725

Prime factors of 79725 are 3, 5, 1063. Prime factorization of 79725 in exponential form is:

79725 = 3¹ × 5² × 1063¹

Step-3: Factors of 79705

List of positive integer factors of 79705 that divides 79705 without a remainder.

1, 5, 19, 95, 839, 4195, 15941

Step-4: Factors of 79725

List of positive integer factors of 79725 that divides 79705 without a remainder.

1, 3, 5, 15, 25, 75, 1063, 3189, 5315, 15945, 26575

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79705 and 79725. The biggest common factor number is the GCF number.
So the greatest common factor 79705 and 79725 is 5.

Also check out the Least Common Multiple of 79705 and 79725