What is the Greatest Common Factor of 25075 and 25079?

Greatest common factor (GCF) of 25075 and 25079 is 1.

GCF(25075,25079) = 1

We will now calculate the prime factors of 25075 and 25079, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25075 and 25079.

How to find the GCF of 25075 and 25079?

We will first find the prime factorization of 25075 and 25079. After we will calculate the factors of 25075 and 25079 and find the biggest common factor number .

Step-1: Prime Factorization of 25075

Prime factors of 25075 are 5, 17, 59. Prime factorization of 25075 in exponential form is:

25075 = 5² × 17¹ × 59¹

Step-2: Prime Factorization of 25079

Prime factors of 25079 are 31, 809. Prime factorization of 25079 in exponential form is:

25079 = 31¹ × 809¹

Step-3: Factors of 25075

List of positive integer factors of 25075 that divides 25075 without a remainder.

1, 5, 17, 25, 59, 85, 295, 425, 1003, 1475, 5015

Step-4: Factors of 25079

List of positive integer factors of 25079 that divides 25075 without a remainder.

1, 31, 809

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25075 and 25079. The biggest common factor number is the GCF number.
So the greatest common factor 25075 and 25079 is 1.

Also check out the Least Common Multiple of 25075 and 25079