What is the Greatest Common Factor of 42744 and 42762?

Greatest common factor (GCF) of 42744 and 42762 is 6.

GCF(42744,42762) = 6

We will now calculate the prime factors of 42744 and 42762, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42744 and 42762.

How to find the GCF of 42744 and 42762?

We will first find the prime factorization of 42744 and 42762. After we will calculate the factors of 42744 and 42762 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 42762

Prime factors of 42762 are 2, 3, 7127. Prime factorization of 42762 in exponential form is:

42762 = 2¹ × 3¹ × 7127¹

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 42762

List of positive integer factors of 42762 that divides 42744 without a remainder.

1, 2, 3, 6, 7127, 14254, 21381

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42744 and 42762. The biggest common factor number is the GCF number.
So the greatest common factor 42744 and 42762 is 6.

Also check out the Least Common Multiple of 42744 and 42762