What is the Greatest Common Factor of 51324 and 51339?

Greatest common factor (GCF) of 51324 and 51339 is 3.

GCF(51324,51339) = 3

We will now calculate the prime factors of 51324 and 51339, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51324 and 51339.

How to find the GCF of 51324 and 51339?

We will first find the prime factorization of 51324 and 51339. After we will calculate the factors of 51324 and 51339 and find the biggest common factor number .

Step-1: Prime Factorization of 51324

Prime factors of 51324 are 2, 3, 7, 13, 47. Prime factorization of 51324 in exponential form is:

51324 = 2² × 3¹ × 7¹ × 13¹ × 47¹

Step-2: Prime Factorization of 51339

Prime factors of 51339 are 3, 109, 157. Prime factorization of 51339 in exponential form is:

51339 = 3¹ × 109¹ × 157¹

Step-3: Factors of 51324

List of positive integer factors of 51324 that divides 51324 without a remainder.

1, 2, 3, 4, 6, 7, 12, 13, 14, 21, 26, 28, 39, 42, 47, 52, 78, 84, 91, 94, 141, 156, 182, 188, 273, 282, 329, 364, 546, 564, 611, 658, 987, 1092, 1222, 1316, 1833, 1974, 2444, 3666, 3948, 4277, 7332, 8554, 12831, 17108, 25662

Step-4: Factors of 51339

List of positive integer factors of 51339 that divides 51324 without a remainder.

1, 3, 109, 157, 327, 471, 17113

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51324 and 51339. The biggest common factor number is the GCF number.
So the greatest common factor 51324 and 51339 is 3.

Also check out the Least Common Multiple of 51324 and 51339