What is the Greatest Common Factor of 25230 and 25240?

Greatest common factor (GCF) of 25230 and 25240 is 10.

GCF(25230,25240) = 10

We will now calculate the prime factors of 25230 and 25240, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25230 and 25240.

How to find the GCF of 25230 and 25240?

We will first find the prime factorization of 25230 and 25240. After we will calculate the factors of 25230 and 25240 and find the biggest common factor number .

Step-1: Prime Factorization of 25230

Prime factors of 25230 are 2, 3, 5, 29. Prime factorization of 25230 in exponential form is:

25230 = 2¹ × 3¹ × 5¹ × 29²

Step-2: 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-3: Factors of 25230

List of positive integer factors of 25230 that divides 25230 without a remainder.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 841, 870, 1682, 2523, 4205, 5046, 8410, 12615

Step-4: Factors of 25240

List of positive integer factors of 25240 that divides 25230 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25230 and 25240. The biggest common factor number is the GCF number.
So the greatest common factor 25230 and 25240 is 10.

Also check out the Least Common Multiple of 25230 and 25240