What is the Greatest Common Factor of 25080 and 25098?

Greatest common factor (GCF) of 25080 and 25098 is 6.

GCF(25080,25098) = 6

We will now calculate the prime factors of 25080 and 25098, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25080 and 25098.

How to find the GCF of 25080 and 25098?

We will first find the prime factorization of 25080 and 25098. After we will calculate the factors of 25080 and 25098 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 25098

Prime factors of 25098 are 2, 3, 47, 89. Prime factorization of 25098 in exponential form is:

25098 = 2¹ × 3¹ × 47¹ × 89¹

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 25098

List of positive integer factors of 25098 that divides 25080 without a remainder.

1, 2, 3, 6, 47, 89, 94, 141, 178, 267, 282, 534, 4183, 8366, 12549

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25080 and 25098. The biggest common factor number is the GCF number.
So the greatest common factor 25080 and 25098 is 6.

Also check out the Least Common Multiple of 25080 and 25098