What is the Greatest Common Factor of 25280 and 25290?

Greatest common factor (GCF) of 25280 and 25290 is 10.

GCF(25280,25290) = 10

We will now calculate the prime factors of 25280 and 25290, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25280 and 25290.

How to find the GCF of 25280 and 25290?

We will first find the prime factorization of 25280 and 25290. After we will calculate the factors of 25280 and 25290 and find the biggest common factor number .

Step-1: Prime Factorization of 25280

Prime factors of 25280 are 2, 5, 79. Prime factorization of 25280 in exponential form is:

25280 = 2⁶ × 5¹ × 79¹

Step-2: Prime Factorization of 25290

Prime factors of 25290 are 2, 3, 5, 281. Prime factorization of 25290 in exponential form is:

25290 = 2¹ × 3² × 5¹ × 281¹

Step-3: Factors of 25280

List of positive integer factors of 25280 that divides 25280 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 79, 80, 158, 160, 316, 320, 395, 632, 790, 1264, 1580, 2528, 3160, 5056, 6320, 12640

Step-4: Factors of 25290

List of positive integer factors of 25290 that divides 25280 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 281, 562, 843, 1405, 1686, 2529, 2810, 4215, 5058, 8430, 12645

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25280 and 25290. The biggest common factor number is the GCF number.
So the greatest common factor 25280 and 25290 is 10.

Also check out the Least Common Multiple of 25280 and 25290