What is the Greatest Common Factor of 25240 and 25250?

Greatest common factor (GCF) of 25240 and 25250 is 10.

GCF(25240,25250) = 10

We will now calculate the prime factors of 25240 and 25250, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25240 and 25250.

How to find the GCF of 25240 and 25250?

We will first find the prime factorization of 25240 and 25250. After we will calculate the factors of 25240 and 25250 and find the biggest common factor number .

Step-1: Prime Factorization of 25240

Prime factors of 25240 are 2, 5, 631. Prime factorization of 25240 in exponential form is:

25240 = 2³ × 5¹ × 631¹

Step-2: 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-3: Factors of 25240

List of positive integer factors of 25240 that divides 25240 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 631, 1262, 2524, 3155, 5048, 6310, 12620

Step-4: Factors of 25250

List of positive integer factors of 25250 that divides 25240 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25240 and 25250. The biggest common factor number is the GCF number.
So the greatest common factor 25240 and 25250 is 10.

Also check out the Least Common Multiple of 25240 and 25250