What is the Greatest Common Factor of 75240 and 75251?

Greatest common factor (GCF) of 75240 and 75251 is 11.

GCF(75240,75251) = 11

We will now calculate the prime factors of 75240 and 75251, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75240 and 75251.

How to find the GCF of 75240 and 75251?

We will first find the prime factorization of 75240 and 75251. After we will calculate the factors of 75240 and 75251 and find the biggest common factor number .

Step-1: Prime Factorization of 75240

Prime factors of 75240 are 2, 3, 5, 11, 19. Prime factorization of 75240 in exponential form is:

75240 = 2³ × 3² × 5¹ × 11¹ × 19¹

Step-2: Prime Factorization of 75251

Prime factors of 75251 are 11, 6841. Prime factorization of 75251 in exponential form is:

75251 = 11¹ × 6841¹

Step-3: Factors of 75240

List of positive integer factors of 75240 that divides 75240 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 15, 18, 19, 20, 22, 24, 30, 33, 36, 38, 40, 44, 45, 55, 57, 60, 66, 72, 76, 88, 90, 95, 99, 110, 114, 120, 132, 152, 165, 171, 180, 190, 198, 209, 220, 228, 264, 285, 330, 342, 360, 380, 396, 418, 440, 456, 495, 570, 627, 660, 684, 760, 792, 836, 855, 990, 1045, 1140, 1254, 1320, 1368, 1672, 1710, 1881, 1980, 2090, 2280, 2508, 3135, 3420, 3762, 3960, 4180, 5016, 6270, 6840, 7524, 8360, 9405, 12540, 15048, 18810, 25080, 37620

Step-4: Factors of 75251

List of positive integer factors of 75251 that divides 75240 without a remainder.

1, 11, 6841

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75240 and 75251. The biggest common factor number is the GCF number.
So the greatest common factor 75240 and 75251 is 11.

Also check out the Least Common Multiple of 75240 and 75251