What is the Greatest Common Factor of 42744 and 42757?

Greatest common factor (GCF) of 42744 and 42757 is 13.

GCF(42744,42757) = 13

We will now calculate the prime factors of 42744 and 42757, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42744 and 42757.

How to find the GCF of 42744 and 42757?

We will first find the prime factorization of 42744 and 42757. After we will calculate the factors of 42744 and 42757 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 42757

Prime factors of 42757 are 11, 13, 23. Prime factorization of 42757 in exponential form is:

42757 = 11¹ × 13² × 23¹

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 42757

List of positive integer factors of 42757 that divides 42744 without a remainder.

1, 11, 13, 23, 143, 169, 253, 299, 1859, 3289, 3887

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42744 and 42757. The biggest common factor number is the GCF number.
So the greatest common factor 42744 and 42757 is 13.

Also check out the Least Common Multiple of 42744 and 42757