What is the Greatest Common Factor of 42756 and 42762?

Greatest common factor (GCF) of 42756 and 42762 is 6.

GCF(42756,42762) = 6

We will now calculate the prime factors of 42756 and 42762, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42756 and 42762.

How to find the GCF of 42756 and 42762?

We will first find the prime factorization of 42756 and 42762. After we will calculate the factors of 42756 and 42762 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 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 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 42762

List of positive integer factors of 42762 that divides 42756 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42756 and 42762. The biggest common factor number is the GCF number.
So the greatest common factor 42756 and 42762 is 6.

Also check out the Least Common Multiple of 42756 and 42762