What is the Greatest Common Factor of 38057 and 38076?

Greatest common factor (GCF) of 38057 and 38076 is 19.

GCF(38057,38076) = 19

We will now calculate the prime factors of 38057 and 38076, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38057 and 38076.

How to find the GCF of 38057 and 38076?

We will first find the prime factorization of 38057 and 38076. After we will calculate the factors of 38057 and 38076 and find the biggest common factor number .

Step-1: Prime Factorization of 38057

Prime factors of 38057 are 19, 2003. Prime factorization of 38057 in exponential form is:

38057 = 19¹ × 2003¹

Step-2: Prime Factorization of 38076

Prime factors of 38076 are 2, 3, 19, 167. Prime factorization of 38076 in exponential form is:

38076 = 2² × 3¹ × 19¹ × 167¹

Step-3: Factors of 38057

List of positive integer factors of 38057 that divides 38057 without a remainder.

1, 19, 2003

Step-4: Factors of 38076

List of positive integer factors of 38076 that divides 38057 without a remainder.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 167, 228, 334, 501, 668, 1002, 2004, 3173, 6346, 9519, 12692, 19038

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38057 and 38076. The biggest common factor number is the GCF number.
So the greatest common factor 38057 and 38076 is 19.

Also check out the Least Common Multiple of 38057 and 38076