What is the Greatest Common Factor of 42729 and 42744?

Greatest common factor (GCF) of 42729 and 42744 is 3.

GCF(42729,42744) = 3

We will now calculate the prime factors of 42729 and 42744, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42729 and 42744.

How to find the GCF of 42729 and 42744?

We will first find the prime factorization of 42729 and 42744. After we will calculate the factors of 42729 and 42744 and find the biggest common factor number .

Step-1: Prime Factorization of 42729

Prime factors of 42729 are 3, 14243. Prime factorization of 42729 in exponential form is:

42729 = 3¹ × 14243¹

Step-2: Prime Factorization of 42744

Prime factors of 42744 are 2, 3, 13, 137. Prime factorization of 42744 in exponential form is:

42744 = 2³ × 3¹ × 13¹ × 137¹

Step-3: Factors of 42729

List of positive integer factors of 42729 that divides 42729 without a remainder.

1, 3, 14243

Step-4: Factors of 42744

List of positive integer factors of 42744 that divides 42729 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 137, 156, 274, 312, 411, 548, 822, 1096, 1644, 1781, 3288, 3562, 5343, 7124, 10686, 14248, 21372

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42729 and 42744. The biggest common factor number is the GCF number.
So the greatest common factor 42729 and 42744 is 3.

Also check out the Least Common Multiple of 42729 and 42744