What is the Greatest Common Factor of 25069 and 25080?

Greatest common factor (GCF) of 25069 and 25080 is 11.

GCF(25069,25080) = 11

We will now calculate the prime factors of 25069 and 25080, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25069 and 25080.

How to find the GCF of 25069 and 25080?

We will first find the prime factorization of 25069 and 25080. After we will calculate the factors of 25069 and 25080 and find the biggest common factor number .

Step-1: Prime Factorization of 25069

Prime factors of 25069 are 11, 43, 53. Prime factorization of 25069 in exponential form is:

25069 = 11¹ × 43¹ × 53¹

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 25069

List of positive integer factors of 25069 that divides 25069 without a remainder.

1, 11, 43, 53, 473, 583, 2279

Step-4: Factors of 25080

List of positive integer factors of 25080 that divides 25069 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 25069 and 25080. The biggest common factor number is the GCF number.
So the greatest common factor 25069 and 25080 is 11.

Also check out the Least Common Multiple of 25069 and 25080