What is the Greatest Common Factor of 25220 and 25230?

Greatest common factor (GCF) of 25220 and 25230 is 10.

GCF(25220,25230) = 10

We will now calculate the prime factors of 25220 and 25230, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25220 and 25230.

How to find the GCF of 25220 and 25230?

We will first find the prime factorization of 25220 and 25230. After we will calculate the factors of 25220 and 25230 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 25230

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

25230 = 2¹ × 3¹ × 5¹ × 29²

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 25230

List of positive integer factors of 25230 that divides 25220 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25220 and 25230. The biggest common factor number is the GCF number.
So the greatest common factor 25220 and 25230 is 10.

Also check out the Least Common Multiple of 25220 and 25230