What is the Greatest Common Factor of 25120 and 25138?

Greatest common factor (GCF) of 25120 and 25138 is 2.

GCF(25120,25138) = 2

We will now calculate the prime factors of 25120 and 25138, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25120 and 25138.

How to find the GCF of 25120 and 25138?

We will first find the prime factorization of 25120 and 25138. After we will calculate the factors of 25120 and 25138 and find the biggest common factor number .

Step-1: Prime Factorization of 25120

Prime factors of 25120 are 2, 5, 157. Prime factorization of 25120 in exponential form is:

25120 = 2⁵ × 5¹ × 157¹

Step-2: Prime Factorization of 25138

Prime factors of 25138 are 2, 12569. Prime factorization of 25138 in exponential form is:

25138 = 2¹ × 12569¹

Step-3: Factors of 25120

List of positive integer factors of 25120 that divides 25120 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 157, 160, 314, 628, 785, 1256, 1570, 2512, 3140, 5024, 6280, 12560

Step-4: Factors of 25138

List of positive integer factors of 25138 that divides 25120 without a remainder.

1, 2, 12569

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25120 and 25138. The biggest common factor number is the GCF number.
So the greatest common factor 25120 and 25138 is 2.

Also check out the Least Common Multiple of 25120 and 25138