What is the Greatest Common Factor of 25233 and 25240?

Greatest common factor (GCF) of 25233 and 25240 is 1.

GCF(25233,25240) = 1

We will now calculate the prime factors of 25233 and 25240, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25233 and 25240.

How to find the GCF of 25233 and 25240?

We will first find the prime factorization of 25233 and 25240. After we will calculate the factors of 25233 and 25240 and find the biggest common factor number .

Step-1: Prime Factorization of 25233

Prime factors of 25233 are 3, 13, 647. Prime factorization of 25233 in exponential form is:

25233 = 3¹ × 13¹ × 647¹

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 25233

List of positive integer factors of 25233 that divides 25233 without a remainder.

1, 3, 13, 39, 647, 1941, 8411

Step-4: Factors of 25240

List of positive integer factors of 25240 that divides 25233 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 25233 and 25240. The biggest common factor number is the GCF number.
So the greatest common factor 25233 and 25240 is 1.

Also check out the Least Common Multiple of 25233 and 25240