What is the Greatest Common Factor of 51324 and 51344?

Greatest common factor (GCF) of 51324 and 51344 is 4.

GCF(51324,51344) = 4

We will now calculate the prime factors of 51324 and 51344, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51324 and 51344.

How to find the GCF of 51324 and 51344?

We will first find the prime factorization of 51324 and 51344. After we will calculate the factors of 51324 and 51344 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 51344

Prime factors of 51344 are 2, 3209. Prime factorization of 51344 in exponential form is:

51344 = 2⁴ × 3209¹

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 51344

List of positive integer factors of 51344 that divides 51324 without a remainder.

1, 2, 4, 8, 16, 3209, 6418, 12836, 25672

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51324 and 51344. The biggest common factor number is the GCF number.
So the greatest common factor 51324 and 51344 is 4.

Also check out the Least Common Multiple of 51324 and 51344