What is the Greatest Common Factor of 25220 and 25233?

Greatest common factor (GCF) of 25220 and 25233 is 13.

GCF(25220,25233) = 13

We will now calculate the prime factors of 25220 and 25233, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25220 and 25233.

How to find the GCF of 25220 and 25233?

We will first find the prime factorization of 25220 and 25233. After we will calculate the factors of 25220 and 25233 and find the biggest common factor number .

Step-1: Prime Factorization of 25220

Prime factors of 25220 are 2, 5, 13, 97. Prime factorization of 25220 in exponential form is:

25220 = 2² × 5¹ × 13¹ × 97¹

Step-2: 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-3: Factors of 25220

List of positive integer factors of 25220 that divides 25220 without a remainder.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 97, 130, 194, 260, 388, 485, 970, 1261, 1940, 2522, 5044, 6305, 12610

Step-4: Factors of 25233

List of positive integer factors of 25233 that divides 25220 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25220 and 25233. The biggest common factor number is the GCF number.
So the greatest common factor 25220 and 25233 is 13.

Also check out the Least Common Multiple of 25220 and 25233