What is the Greatest Common Factor of 25135 and 25150?

Greatest common factor (GCF) of 25135 and 25150 is 5.

GCF(25135,25150) = 5

We will now calculate the prime factors of 25135 and 25150, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25135 and 25150.

How to find the GCF of 25135 and 25150?

We will first find the prime factorization of 25135 and 25150. After we will calculate the factors of 25135 and 25150 and find the biggest common factor number .

Step-1: Prime Factorization of 25135

Prime factors of 25135 are 5, 11, 457. Prime factorization of 25135 in exponential form is:

25135 = 5¹ × 11¹ × 457¹

Step-2: Prime Factorization of 25150

Prime factors of 25150 are 2, 5, 503. Prime factorization of 25150 in exponential form is:

25150 = 2¹ × 5² × 503¹

Step-3: Factors of 25135

List of positive integer factors of 25135 that divides 25135 without a remainder.

1, 5, 11, 55, 457, 2285, 5027

Step-4: Factors of 25150

List of positive integer factors of 25150 that divides 25135 without a remainder.

1, 2, 5, 10, 25, 50, 503, 1006, 2515, 5030, 12575

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25135 and 25150. The biggest common factor number is the GCF number.
So the greatest common factor 25135 and 25150 is 5.

Also check out the Least Common Multiple of 25135 and 25150