What is the Greatest Common Factor of 25320 and 25332?

Greatest common factor (GCF) of 25320 and 25332 is 12.

GCF(25320,25332) = 12

We will now calculate the prime factors of 25320 and 25332, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25320 and 25332.

How to find the GCF of 25320 and 25332?

We will first find the prime factorization of 25320 and 25332. After we will calculate the factors of 25320 and 25332 and find the biggest common factor number .

Step-1: Prime Factorization of 25320

Prime factors of 25320 are 2, 3, 5, 211. Prime factorization of 25320 in exponential form is:

25320 = 2³ × 3¹ × 5¹ × 211¹

Step-2: Prime Factorization of 25332

Prime factors of 25332 are 2, 3, 2111. Prime factorization of 25332 in exponential form is:

25332 = 2² × 3¹ × 2111¹

Step-3: Factors of 25320

List of positive integer factors of 25320 that divides 25320 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 211, 422, 633, 844, 1055, 1266, 1688, 2110, 2532, 3165, 4220, 5064, 6330, 8440, 12660

Step-4: Factors of 25332

List of positive integer factors of 25332 that divides 25320 without a remainder.

1, 2, 3, 4, 6, 12, 2111, 4222, 6333, 8444, 12666

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25320 and 25332. The biggest common factor number is the GCF number.
So the greatest common factor 25320 and 25332 is 12.

Also check out the Least Common Multiple of 25320 and 25332