What is the Greatest Common Factor of 52734 and 52749?

Greatest common factor (GCF) of 52734 and 52749 is 3.

GCF(52734,52749) = 3

We will now calculate the prime factors of 52734 and 52749, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52734 and 52749.

How to find the GCF of 52734 and 52749?

We will first find the prime factorization of 52734 and 52749. After we will calculate the factors of 52734 and 52749 and find the biggest common factor number .

Step-1: Prime Factorization of 52734

Prime factors of 52734 are 2, 3, 11, 17, 47. Prime factorization of 52734 in exponential form is:

52734 = 2¹ × 3¹ × 11¹ × 17¹ × 47¹

Step-2: Prime Factorization of 52749

Prime factors of 52749 are 3, 5861. Prime factorization of 52749 in exponential form is:

52749 = 3² × 5861¹

Step-3: Factors of 52734

List of positive integer factors of 52734 that divides 52734 without a remainder.

1, 2, 3, 6, 11, 17, 22, 33, 34, 47, 51, 66, 94, 102, 141, 187, 282, 374, 517, 561, 799, 1034, 1122, 1551, 1598, 2397, 3102, 4794, 8789, 17578, 26367

Step-4: Factors of 52749

List of positive integer factors of 52749 that divides 52734 without a remainder.

1, 3, 9, 5861, 17583

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52734 and 52749. The biggest common factor number is the GCF number.
So the greatest common factor 52734 and 52749 is 3.

Also check out the Least Common Multiple of 52734 and 52749