What is the Greatest Common Factor of 51264 and 51269?

Greatest common factor (GCF) of 51264 and 51269 is 1.

GCF(51264,51269) = 1

We will now calculate the prime factors of 51264 and 51269, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51264 and 51269.

How to find the GCF of 51264 and 51269?

We will first find the prime factorization of 51264 and 51269. After we will calculate the factors of 51264 and 51269 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 51269

Prime factors of 51269 are 167, 307. Prime factorization of 51269 in exponential form is:

51269 = 167¹ × 307¹

Step-3: Factors of 51264

List of positive integer factors of 51264 that divides 51264 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

Step-4: Factors of 51269

List of positive integer factors of 51269 that divides 51264 without a remainder.

1, 167, 307

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51264 and 51269. The biggest common factor number is the GCF number.
So the greatest common factor 51264 and 51269 is 1.

Also check out the Least Common Multiple of 51264 and 51269