What is the Greatest Common Factor of 39475 and 39493?

Greatest common factor (GCF) of 39475 and 39493 is 1.

GCF(39475,39493) = 1

We will now calculate the prime factors of 39475 and 39493, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39475 and 39493.

How to find the GCF of 39475 and 39493?

We will first find the prime factorization of 39475 and 39493. After we will calculate the factors of 39475 and 39493 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 39493

Prime factors of 39493 are 73, 541. Prime factorization of 39493 in exponential form is:

39493 = 73¹ × 541¹

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 39493

List of positive integer factors of 39493 that divides 39475 without a remainder.

1, 73, 541

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39475 and 39493. The biggest common factor number is the GCF number.
So the greatest common factor 39475 and 39493 is 1.

Also check out the Least Common Multiple of 39475 and 39493