What is the Greatest Common Factor of 38925 and 38945?

Greatest common factor (GCF) of 38925 and 38945 is 5.

GCF(38925,38945) = 5

We will now calculate the prime factors of 38925 and 38945, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38925 and 38945.

How to find the GCF of 38925 and 38945?

We will first find the prime factorization of 38925 and 38945. After we will calculate the factors of 38925 and 38945 and find the biggest common factor number .

Step-1: Prime Factorization of 38925

Prime factors of 38925 are 3, 5, 173. Prime factorization of 38925 in exponential form is:

38925 = 3² × 5² × 173¹

Step-2: Prime Factorization of 38945

Prime factors of 38945 are 5, 7789. Prime factorization of 38945 in exponential form is:

38945 = 5¹ × 7789¹

Step-3: Factors of 38925

List of positive integer factors of 38925 that divides 38925 without a remainder.

1, 3, 5, 9, 15, 25, 45, 75, 173, 225, 519, 865, 1557, 2595, 4325, 7785, 12975

Step-4: Factors of 38945

List of positive integer factors of 38945 that divides 38925 without a remainder.

1, 5, 7789

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38925 and 38945. The biggest common factor number is the GCF number.
So the greatest common factor 38925 and 38945 is 5.

Also check out the Least Common Multiple of 38925 and 38945