What is the Greatest Common Factor of 51309 and 51324?

Greatest common factor (GCF) of 51309 and 51324 is 3.

GCF(51309,51324) = 3

We will now calculate the prime factors of 51309 and 51324, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51309 and 51324.

How to find the GCF of 51309 and 51324?

We will first find the prime factorization of 51309 and 51324. After we will calculate the factors of 51309 and 51324 and find the biggest common factor number .

Step-1: Prime Factorization of 51309

Prime factors of 51309 are 3, 5701. Prime factorization of 51309 in exponential form is:

51309 = 3² × 5701¹

Step-2: 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-3: Factors of 51309

List of positive integer factors of 51309 that divides 51309 without a remainder.

1, 3, 9, 5701, 17103

Step-4: Factors of 51324

List of positive integer factors of 51324 that divides 51309 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51309 and 51324. The biggest common factor number is the GCF number.
So the greatest common factor 51309 and 51324 is 3.

Also check out the Least Common Multiple of 51309 and 51324