What is the Greatest Common Factor of 25236 and 25240?

Greatest common factor (GCF) of 25236 and 25240 is 4.

GCF(25236,25240) = 4

We will now calculate the prime factors of 25236 and 25240, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25236 and 25240.

How to find the GCF of 25236 and 25240?

We will first find the prime factorization of 25236 and 25240. After we will calculate the factors of 25236 and 25240 and find the biggest common factor number .

Step-1: Prime Factorization of 25236

Prime factors of 25236 are 2, 3, 701. Prime factorization of 25236 in exponential form is:

25236 = 2² × 3² × 701¹

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 25236

List of positive integer factors of 25236 that divides 25236 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 701, 1402, 2103, 2804, 4206, 6309, 8412, 12618

Step-4: Factors of 25240

List of positive integer factors of 25240 that divides 25236 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 25236 and 25240. The biggest common factor number is the GCF number.
So the greatest common factor 25236 and 25240 is 4.

Also check out the Least Common Multiple of 25236 and 25240