What is the Greatest Common Factor of 39475 and 39487?

Greatest common factor (GCF) of 39475 and 39487 is 1.

GCF(39475,39487) = 1

We will now calculate the prime factors of 39475 and 39487, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39475 and 39487.

How to find the GCF of 39475 and 39487?

We will first find the prime factorization of 39475 and 39487. After we will calculate the factors of 39475 and 39487 and find the biggest common factor number .

Step-1: Prime Factorization of 39475

Prime factors of 39475 are 5, 1579. Prime factorization of 39475 in exponential form is:

39475 = 5² × 1579¹

Step-2: Prime Factorization of 39487

Prime factors of 39487 are 7, 5641. Prime factorization of 39487 in exponential form is:

39487 = 7¹ × 5641¹

Step-3: Factors of 39475

List of positive integer factors of 39475 that divides 39475 without a remainder.

1, 5, 25, 1579, 7895

Step-4: Factors of 39487

List of positive integer factors of 39487 that divides 39475 without a remainder.

1, 7, 5641

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39475 and 39487. The biggest common factor number is the GCF number.
So the greatest common factor 39475 and 39487 is 1.

Also check out the Least Common Multiple of 39475 and 39487