What is the Greatest Common Factor of 42747 and 42756?

Greatest common factor (GCF) of 42747 and 42756 is 3.

GCF(42747,42756) = 3

We will now calculate the prime factors of 42747 and 42756, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42747 and 42756.

How to find the GCF of 42747 and 42756?

We will first find the prime factorization of 42747 and 42756. After we will calculate the factors of 42747 and 42756 and find the biggest common factor number .

Step-1: Prime Factorization of 42747

Prime factors of 42747 are 3, 14249. Prime factorization of 42747 in exponential form is:

42747 = 3¹ × 14249¹

Step-2: 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-3: Factors of 42747

List of positive integer factors of 42747 that divides 42747 without a remainder.

1, 3, 14249

Step-4: Factors of 42756

List of positive integer factors of 42756 that divides 42747 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42747 and 42756. The biggest common factor number is the GCF number.
So the greatest common factor 42747 and 42756 is 3.

Also check out the Least Common Multiple of 42747 and 42756