What is the Greatest Common Factor of 25068 and 25080?

Greatest common factor (GCF) of 25068 and 25080 is 12.

GCF(25068,25080) = 12

We will now calculate the prime factors of 25068 and 25080, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25068 and 25080.

How to find the GCF of 25068 and 25080?

We will first find the prime factorization of 25068 and 25080. After we will calculate the factors of 25068 and 25080 and find the biggest common factor number .

Step-1: Prime Factorization of 25068

Prime factors of 25068 are 2, 3, 2089. Prime factorization of 25068 in exponential form is:

25068 = 2² × 3¹ × 2089¹

Step-2: 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-3: Factors of 25068

List of positive integer factors of 25068 that divides 25068 without a remainder.

1, 2, 3, 4, 6, 12, 2089, 4178, 6267, 8356, 12534

Step-4: Factors of 25080

List of positive integer factors of 25080 that divides 25068 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25068 and 25080. The biggest common factor number is the GCF number.
So the greatest common factor 25068 and 25080 is 12.

Also check out the Least Common Multiple of 25068 and 25080