What is the Greatest Common Factor of 42725 and 42740?

Greatest common factor (GCF) of 42725 and 42740 is 5.

GCF(42725,42740) = 5

We will now calculate the prime factors of 42725 and 42740, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42725 and 42740.

How to find the GCF of 42725 and 42740?

We will first find the prime factorization of 42725 and 42740. After we will calculate the factors of 42725 and 42740 and find the biggest common factor number .

Step-1: Prime Factorization of 42725

Prime factors of 42725 are 5, 1709. Prime factorization of 42725 in exponential form is:

42725 = 5² × 1709¹

Step-2: 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-3: Factors of 42725

List of positive integer factors of 42725 that divides 42725 without a remainder.

1, 5, 25, 1709, 8545

Step-4: Factors of 42740

List of positive integer factors of 42740 that divides 42725 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42725 and 42740. The biggest common factor number is the GCF number.
So the greatest common factor 42725 and 42740 is 5.

Also check out the Least Common Multiple of 42725 and 42740