What is the Greatest Common Factor of 42395 and 42407?

Greatest common factor (GCF) of 42395 and 42407 is 1.

GCF(42395,42407) = 1

We will now calculate the prime factors of 42395 and 42407, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42395 and 42407.

How to find the GCF of 42395 and 42407?

We will first find the prime factorization of 42395 and 42407. After we will calculate the factors of 42395 and 42407 and find the biggest common factor number .

Step-1: Prime Factorization of 42395

Prime factors of 42395 are 5, 61, 139. Prime factorization of 42395 in exponential form is:

42395 = 5¹ × 61¹ × 139¹

Step-2: Prime Factorization of 42407

Prime factors of 42407 are 42407. Prime factorization of 42407 in exponential form is:

42407 = 42407¹

Step-3: Factors of 42395

List of positive integer factors of 42395 that divides 42395 without a remainder.

1, 5, 61, 139, 305, 695, 8479

Step-4: Factors of 42407

List of positive integer factors of 42407 that divides 42395 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42395 and 42407. The biggest common factor number is the GCF number.
So the greatest common factor 42395 and 42407 is 1.

Also check out the Least Common Multiple of 42395 and 42407