What is the Greatest Common Factor of 25075 and 25092?

Greatest common factor (GCF) of 25075 and 25092 is 17.

GCF(25075,25092) = 17

We will now calculate the prime factors of 25075 and 25092, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25075 and 25092.

How to find the GCF of 25075 and 25092?

We will first find the prime factorization of 25075 and 25092. After we will calculate the factors of 25075 and 25092 and find the biggest common factor number .

Step-1: Prime Factorization of 25075

Prime factors of 25075 are 5, 17, 59. Prime factorization of 25075 in exponential form is:

25075 = 5² × 17¹ × 59¹

Step-2: Prime Factorization of 25092

Prime factors of 25092 are 2, 3, 17, 41. Prime factorization of 25092 in exponential form is:

25092 = 2² × 3² × 17¹ × 41¹

Step-3: Factors of 25075

List of positive integer factors of 25075 that divides 25075 without a remainder.

1, 5, 17, 25, 59, 85, 295, 425, 1003, 1475, 5015

Step-4: Factors of 25092

List of positive integer factors of 25092 that divides 25075 without a remainder.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 41, 51, 68, 82, 102, 123, 153, 164, 204, 246, 306, 369, 492, 612, 697, 738, 1394, 1476, 2091, 2788, 4182, 6273, 8364, 12546

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25075 and 25092. The biggest common factor number is the GCF number.
So the greatest common factor 25075 and 25092 is 17.

Also check out the Least Common Multiple of 25075 and 25092