What is the Greatest Common Factor of 25080 and 25090?

Greatest common factor (GCF) of 25080 and 25090 is 10.

GCF(25080,25090) = 10

We will now calculate the prime factors of 25080 and 25090, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25080 and 25090.

How to find the GCF of 25080 and 25090?

We will first find the prime factorization of 25080 and 25090. After we will calculate the factors of 25080 and 25090 and find the biggest common factor number .

Step-1: Prime Factorization of 25080

Prime factors of 25080 are 2, 3, 5, 11, 19. Prime factorization of 25080 in exponential form is:

25080 = 2³ × 3¹ × 5¹ × 11¹ × 19¹

Step-2: Prime Factorization of 25090

Prime factors of 25090 are 2, 5, 13, 193. Prime factorization of 25090 in exponential form is:

25090 = 2¹ × 5¹ × 13¹ × 193¹

Step-3: Factors of 25080

List of positive integer factors of 25080 that divides 25080 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 11, 12, 15, 19, 20, 22, 24, 30, 33, 38, 40, 44, 55, 57, 60, 66, 76, 88, 95, 110, 114, 120, 132, 152, 165, 190, 209, 220, 228, 264, 285, 330, 380, 418, 440, 456, 570, 627, 660, 760, 836, 1045, 1140, 1254, 1320, 1672, 2090, 2280, 2508, 3135, 4180, 5016, 6270, 8360, 12540

Step-4: Factors of 25090

List of positive integer factors of 25090 that divides 25080 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130, 193, 386, 965, 1930, 2509, 5018, 12545

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25080 and 25090. The biggest common factor number is the GCF number.
So the greatest common factor 25080 and 25090 is 10.

Also check out the Least Common Multiple of 25080 and 25090