What is the Greatest Common Factor of 25025 and 25036?

Greatest common factor (GCF) of 25025 and 25036 is 11.

GCF(25025,25036) = 11

We will now calculate the prime factors of 25025 and 25036, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25025 and 25036.

How to find the GCF of 25025 and 25036?

We will first find the prime factorization of 25025 and 25036. After we will calculate the factors of 25025 and 25036 and find the biggest common factor number .

Step-1: Prime Factorization of 25025

Prime factors of 25025 are 5, 7, 11, 13. Prime factorization of 25025 in exponential form is:

25025 = 5² × 7¹ × 11¹ × 13¹

Step-2: Prime Factorization of 25036

Prime factors of 25036 are 2, 11, 569. Prime factorization of 25036 in exponential form is:

25036 = 2² × 11¹ × 569¹

Step-3: Factors of 25025

List of positive integer factors of 25025 that divides 25025 without a remainder.

1, 5, 7, 11, 13, 25, 35, 55, 65, 77, 91, 143, 175, 275, 325, 385, 455, 715, 1001, 1925, 2275, 3575, 5005

Step-4: Factors of 25036

List of positive integer factors of 25036 that divides 25025 without a remainder.

1, 2, 4, 11, 22, 44, 569, 1138, 2276, 6259, 12518

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25025 and 25036. The biggest common factor number is the GCF number.
So the greatest common factor 25025 and 25036 is 11.

Also check out the Least Common Multiple of 25025 and 25036