What is the Greatest Common Factor of 38909 and 38925?

Greatest common factor (GCF) of 38909 and 38925 is 1.

GCF(38909,38925) = 1

We will now calculate the prime factors of 38909 and 38925, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38909 and 38925.

How to find the GCF of 38909 and 38925?

We will first find the prime factorization of 38909 and 38925. After we will calculate the factors of 38909 and 38925 and find the biggest common factor number .

Step-1: Prime Factorization of 38909

Prime factors of 38909 are 13, 41, 73. Prime factorization of 38909 in exponential form is:

38909 = 13¹ × 41¹ × 73¹

Step-2: 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-3: Factors of 38909

List of positive integer factors of 38909 that divides 38909 without a remainder.

1, 13, 41, 73, 533, 949, 2993

Step-4: Factors of 38925

List of positive integer factors of 38925 that divides 38909 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38909 and 38925. The biggest common factor number is the GCF number.
So the greatest common factor 38909 and 38925 is 1.

Also check out the Least Common Multiple of 38909 and 38925