What is the Greatest Common Factor of 25250 and 25258?

Greatest common factor (GCF) of 25250 and 25258 is 2.

GCF(25250,25258) = 2

We will now calculate the prime factors of 25250 and 25258, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25250 and 25258.

How to find the GCF of 25250 and 25258?

We will first find the prime factorization of 25250 and 25258. After we will calculate the factors of 25250 and 25258 and find the biggest common factor number .

Step-1: Prime Factorization of 25250

Prime factors of 25250 are 2, 5, 101. Prime factorization of 25250 in exponential form is:

25250 = 2¹ × 5³ × 101¹

Step-2: Prime Factorization of 25258

Prime factors of 25258 are 2, 73, 173. Prime factorization of 25258 in exponential form is:

25258 = 2¹ × 73¹ × 173¹

Step-3: Factors of 25250

List of positive integer factors of 25250 that divides 25250 without a remainder.

1, 2, 5, 10, 25, 50, 101, 125, 202, 250, 505, 1010, 2525, 5050, 12625

Step-4: Factors of 25258

List of positive integer factors of 25258 that divides 25250 without a remainder.

1, 2, 73, 146, 173, 346, 12629

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25250 and 25258. The biggest common factor number is the GCF number.
So the greatest common factor 25250 and 25258 is 2.

Also check out the Least Common Multiple of 25250 and 25258