What is the Greatest Common Factor of 42712 and 42725?

Greatest common factor (GCF) of 42712 and 42725 is 1.

GCF(42712,42725) = 1

We will now calculate the prime factors of 42712 and 42725, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42712 and 42725.

How to find the GCF of 42712 and 42725?

We will first find the prime factorization of 42712 and 42725. After we will calculate the factors of 42712 and 42725 and find the biggest common factor number .

Step-1: Prime Factorization of 42712

Prime factors of 42712 are 2, 19, 281. Prime factorization of 42712 in exponential form is:

42712 = 2³ × 19¹ × 281¹

Step-2: Prime Factorization of 42725

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

42725 = 5² × 1709¹

Step-3: Factors of 42712

List of positive integer factors of 42712 that divides 42712 without a remainder.

1, 2, 4, 8, 19, 38, 76, 152, 281, 562, 1124, 2248, 5339, 10678, 21356

Step-4: Factors of 42725

List of positive integer factors of 42725 that divides 42712 without a remainder.

1, 5, 25, 1709, 8545

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42712 and 42725. The biggest common factor number is the GCF number.
So the greatest common factor 42712 and 42725 is 1.

Also check out the Least Common Multiple of 42712 and 42725