What is the Greatest Common Factor of 42740 and 42756?

Greatest common factor (GCF) of 42740 and 42756 is 4.

GCF(42740,42756) = 4

We will now calculate the prime factors of 42740 and 42756, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42740 and 42756.

How to find the GCF of 42740 and 42756?

We will first find the prime factorization of 42740 and 42756. After we will calculate the factors of 42740 and 42756 and find the biggest common factor number .

Step-1: Prime Factorization of 42740

Prime factors of 42740 are 2, 5, 2137. Prime factorization of 42740 in exponential form is:

42740 = 2² × 5¹ × 2137¹

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 42740

List of positive integer factors of 42740 that divides 42740 without a remainder.

1, 2, 4, 5, 10, 20, 2137, 4274, 8548, 10685, 21370

Step-4: Factors of 42756

List of positive integer factors of 42756 that divides 42740 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 42740 and 42756. The biggest common factor number is the GCF number.
So the greatest common factor 42740 and 42756 is 4.

Also check out the Least Common Multiple of 42740 and 42756