What is the Greatest Common Factor of 51249 and 51264?

Greatest common factor (GCF) of 51249 and 51264 is 3.

GCF(51249,51264) = 3

We will now calculate the prime factors of 51249 and 51264, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51249 and 51264.

How to find the GCF of 51249 and 51264?

We will first find the prime factorization of 51249 and 51264. After we will calculate the factors of 51249 and 51264 and find the biggest common factor number .

Step-1: Prime Factorization of 51249

Prime factors of 51249 are 3, 11, 1553. Prime factorization of 51249 in exponential form is:

51249 = 3¹ × 11¹ × 1553¹

Step-2: Prime Factorization of 51264

Prime factors of 51264 are 2, 3, 89. Prime factorization of 51264 in exponential form is:

51264 = 2⁶ × 3² × 89¹

Step-3: Factors of 51249

List of positive integer factors of 51249 that divides 51249 without a remainder.

1, 3, 11, 33, 1553, 4659, 17083

Step-4: Factors of 51264

List of positive integer factors of 51264 that divides 51249 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 89, 96, 144, 178, 192, 267, 288, 356, 534, 576, 712, 801, 1068, 1424, 1602, 2136, 2848, 3204, 4272, 5696, 6408, 8544, 12816, 17088, 25632

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51249 and 51264. The biggest common factor number is the GCF number.
So the greatest common factor 51249 and 51264 is 3.

Also check out the Least Common Multiple of 51249 and 51264