What is the Greatest Common Factor of 25072 and 25080?

Greatest common factor (GCF) of 25072 and 25080 is 8.

GCF(25072,25080) = 8

We will now calculate the prime factors of 25072 and 25080, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25072 and 25080.

How to find the GCF of 25072 and 25080?

We will first find the prime factorization of 25072 and 25080. After we will calculate the factors of 25072 and 25080 and find the biggest common factor number .

Step-1: Prime Factorization of 25072

Prime factors of 25072 are 2, 1567. Prime factorization of 25072 in exponential form is:

25072 = 2⁴ × 1567¹

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 25072

List of positive integer factors of 25072 that divides 25072 without a remainder.

1, 2, 4, 8, 16, 1567, 3134, 6268, 12536

Step-4: Factors of 25080

List of positive integer factors of 25080 that divides 25072 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 25072 and 25080. The biggest common factor number is the GCF number.
So the greatest common factor 25072 and 25080 is 8.

Also check out the Least Common Multiple of 25072 and 25080