What is the Greatest Common Factor of 38045 and 38057?

Greatest common factor (GCF) of 38045 and 38057 is 1.

GCF(38045,38057) = 1

We will now calculate the prime factors of 38045 and 38057, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38045 and 38057.

How to find the GCF of 38045 and 38057?

We will first find the prime factorization of 38045 and 38057. After we will calculate the factors of 38045 and 38057 and find the biggest common factor number .

Step-1: Prime Factorization of 38045

Prime factors of 38045 are 5, 7, 1087. Prime factorization of 38045 in exponential form is:

38045 = 5¹ × 7¹ × 1087¹

Step-2: Prime Factorization of 38057

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

38057 = 19¹ × 2003¹

Step-3: Factors of 38045

List of positive integer factors of 38045 that divides 38045 without a remainder.

1, 5, 7, 35, 1087, 5435, 7609

Step-4: Factors of 38057

List of positive integer factors of 38057 that divides 38045 without a remainder.

1, 19, 2003

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38045 and 38057. The biggest common factor number is the GCF number.
So the greatest common factor 38045 and 38057 is 1.

Also check out the Least Common Multiple of 38045 and 38057