What is the Greatest Common Factor of 38750 and 38770?

Greatest common factor (GCF) of 38750 and 38770 is 10.

GCF(38750,38770) = 10

We will now calculate the prime factors of 38750 and 38770, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38750 and 38770.

How to find the GCF of 38750 and 38770?

We will first find the prime factorization of 38750 and 38770. After we will calculate the factors of 38750 and 38770 and find the biggest common factor number .

Step-1: Prime Factorization of 38750

Prime factors of 38750 are 2, 5, 31. Prime factorization of 38750 in exponential form is:

38750 = 2¹ × 5⁴ × 31¹

Step-2: 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-3: Factors of 38750

List of positive integer factors of 38750 that divides 38750 without a remainder.

1, 2, 5, 10, 25, 31, 50, 62, 125, 155, 250, 310, 625, 775, 1250, 1550, 3875, 7750, 19375

Step-4: Factors of 38770

List of positive integer factors of 38770 that divides 38750 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38750 and 38770. The biggest common factor number is the GCF number.
So the greatest common factor 38750 and 38770 is 10.

Also check out the Least Common Multiple of 38750 and 38770