What is the Greatest Common Factor of 25025 and 25032?

Greatest common factor (GCF) of 25025 and 25032 is 7.

GCF(25025,25032) = 7

We will now calculate the prime factors of 25025 and 25032, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25025 and 25032.

How to find the GCF of 25025 and 25032?

We will first find the prime factorization of 25025 and 25032. After we will calculate the factors of 25025 and 25032 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 25032

Prime factors of 25032 are 2, 3, 7, 149. Prime factorization of 25032 in exponential form is:

25032 = 2³ × 3¹ × 7¹ × 149¹

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 25032

List of positive integer factors of 25032 that divides 25025 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 149, 168, 298, 447, 596, 894, 1043, 1192, 1788, 2086, 3129, 3576, 4172, 6258, 8344, 12516

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25025 and 25032. The biggest common factor number is the GCF number.
So the greatest common factor 25025 and 25032 is 7.

Also check out the Least Common Multiple of 25025 and 25032