What is the Greatest Common Factor of 38770 and 38790?

Greatest common factor (GCF) of 38770 and 38790 is 10.

GCF(38770,38790) = 10

We will now calculate the prime factors of 38770 and 38790, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38770 and 38790.

How to find the GCF of 38770 and 38790?

We will first find the prime factorization of 38770 and 38790. After we will calculate the factors of 38770 and 38790 and find the biggest common factor number .

Step-1: Prime Factorization of 38770

Prime factors of 38770 are 2, 5, 3877. Prime factorization of 38770 in exponential form is:

38770 = 2¹ × 5¹ × 3877¹

Step-2: Prime Factorization of 38790

Prime factors of 38790 are 2, 3, 5, 431. Prime factorization of 38790 in exponential form is:

38790 = 2¹ × 3² × 5¹ × 431¹

Step-3: Factors of 38770

List of positive integer factors of 38770 that divides 38770 without a remainder.

1, 2, 5, 10, 3877, 7754, 19385

Step-4: Factors of 38790

List of positive integer factors of 38790 that divides 38770 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 431, 862, 1293, 2155, 2586, 3879, 4310, 6465, 7758, 12930, 19395

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38770 and 38790. The biggest common factor number is the GCF number.
So the greatest common factor 38770 and 38790 is 10.

Also check out the Least Common Multiple of 38770 and 38790