What is the Greatest Common Factor of 25098 and 25107?

Greatest common factor (GCF) of 25098 and 25107 is 3.

GCF(25098,25107) = 3

We will now calculate the prime factors of 25098 and 25107, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25098 and 25107.

How to find the GCF of 25098 and 25107?

We will first find the prime factorization of 25098 and 25107. After we will calculate the factors of 25098 and 25107 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 25107

Prime factors of 25107 are 3, 8369. Prime factorization of 25107 in exponential form is:

25107 = 3¹ × 8369¹

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 25107

List of positive integer factors of 25107 that divides 25098 without a remainder.

1, 3, 8369

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25098 and 25107. The biggest common factor number is the GCF number.
So the greatest common factor 25098 and 25107 is 3.

Also check out the Least Common Multiple of 25098 and 25107