What is the Greatest Common Factor of 25098 and 25115?

Greatest common factor (GCF) of 25098 and 25115 is 1.

GCF(25098,25115) = 1

We will now calculate the prime factors of 25098 and 25115, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25098 and 25115.

How to find the GCF of 25098 and 25115?

We will first find the prime factorization of 25098 and 25115. After we will calculate the factors of 25098 and 25115 and find the biggest common factor number .

Step-1: Prime Factorization of 25098

Prime factors of 25098 are 2, 3, 47, 89. Prime factorization of 25098 in exponential form is:

25098 = 2¹ × 3¹ × 47¹ × 89¹

Step-2: Prime Factorization of 25115

Prime factors of 25115 are 5, 5023. Prime factorization of 25115 in exponential form is:

25115 = 5¹ × 5023¹

Step-3: Factors of 25098

List of positive integer factors of 25098 that divides 25098 without a remainder.

1, 2, 3, 6, 47, 89, 94, 141, 178, 267, 282, 534, 4183, 8366, 12549

Step-4: Factors of 25115

List of positive integer factors of 25115 that divides 25098 without a remainder.

1, 5, 5023

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25098 and 25115. The biggest common factor number is the GCF number.
So the greatest common factor 25098 and 25115 is 1.

Also check out the Least Common Multiple of 25098 and 25115