What is the Greatest Common Factor of 42744 and 42748?

Greatest common factor (GCF) of 42744 and 42748 is 4.

GCF(42744,42748) = 4

We will now calculate the prime factors of 42744 and 42748, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42744 and 42748.

How to find the GCF of 42744 and 42748?

We will first find the prime factorization of 42744 and 42748. After we will calculate the factors of 42744 and 42748 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 42748

Prime factors of 42748 are 2, 10687. Prime factorization of 42748 in exponential form is:

42748 = 2² × 10687¹

Step-3: Factors of 42744

List of positive integer factors of 42744 that divides 42744 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

Step-4: Factors of 42748

List of positive integer factors of 42748 that divides 42744 without a remainder.

1, 2, 4, 10687, 21374

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42744 and 42748. The biggest common factor number is the GCF number.
So the greatest common factor 42744 and 42748 is 4.

Also check out the Least Common Multiple of 42744 and 42748