What is the Greatest Common Factor of 42756 and 42774?

Greatest common factor (GCF) of 42756 and 42774 is 6.

GCF(42756,42774) = 6

We will now calculate the prime factors of 42756 and 42774, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42756 and 42774.

How to find the GCF of 42756 and 42774?

We will first find the prime factorization of 42756 and 42774. After we will calculate the factors of 42756 and 42774 and find the biggest common factor number .

Step-1: Prime Factorization of 42756

Prime factors of 42756 are 2, 3, 7, 509. Prime factorization of 42756 in exponential form is:

42756 = 2² × 3¹ × 7¹ × 509¹

Step-2: Prime Factorization of 42774

Prime factors of 42774 are 2, 3, 7129. Prime factorization of 42774 in exponential form is:

42774 = 2¹ × 3¹ × 7129¹

Step-3: Factors of 42756

List of positive integer factors of 42756 that divides 42756 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 509, 1018, 1527, 2036, 3054, 3563, 6108, 7126, 10689, 14252, 21378

Step-4: Factors of 42774

List of positive integer factors of 42774 that divides 42756 without a remainder.

1, 2, 3, 6, 7129, 14258, 21387

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42756 and 42774. The biggest common factor number is the GCF number.
So the greatest common factor 42756 and 42774 is 6.

Also check out the Least Common Multiple of 42756 and 42774