What is the Greatest Common Factor of 25415 and 25420?

Greatest common factor (GCF) of 25415 and 25420 is 5.

GCF(25415,25420) = 5

We will now calculate the prime factors of 25415 and 25420, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25415 and 25420.

How to find the GCF of 25415 and 25420?

We will first find the prime factorization of 25415 and 25420. After we will calculate the factors of 25415 and 25420 and find the biggest common factor number .

Step-1: Prime Factorization of 25415

Prime factors of 25415 are 5, 13, 17, 23. Prime factorization of 25415 in exponential form is:

25415 = 5¹ × 13¹ × 17¹ × 23¹

Step-2: Prime Factorization of 25420

Prime factors of 25420 are 2, 5, 31, 41. Prime factorization of 25420 in exponential form is:

25420 = 2² × 5¹ × 31¹ × 41¹

Step-3: Factors of 25415

List of positive integer factors of 25415 that divides 25415 without a remainder.

1, 5, 13, 17, 23, 65, 85, 115, 221, 299, 391, 1105, 1495, 1955, 5083

Step-4: Factors of 25420

List of positive integer factors of 25420 that divides 25415 without a remainder.

1, 2, 4, 5, 10, 20, 31, 41, 62, 82, 124, 155, 164, 205, 310, 410, 620, 820, 1271, 2542, 5084, 6355, 12710

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25415 and 25420. The biggest common factor number is the GCF number.
So the greatest common factor 25415 and 25420 is 5.

Also check out the Least Common Multiple of 25415 and 25420