GCF and LCM Calculator Logo

What is the Greatest Common Factor of 38157 and 38174?

Greatest common factor (GCF) of 38157 and 38174 is 1.

GCF(38157,38174) = 1

We will now calculate the prime factors of 38157 and 38174, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38157 and 38174.

GCF Calculator and
and

How to find the GCF of 38157 and 38174?

We will first find the prime factorization of 38157 and 38174. After we will calculate the factors of 38157 and 38174 and find the biggest common factor number .

Step-1: Prime Factorization of 38157

Prime factors of 38157 are 3, 7, 23, 79. Prime factorization of 38157 in exponential form is:

38157 = 31 × 71 × 231 × 791

Step-2: Prime Factorization of 38174

Prime factors of 38174 are 2, 19087. Prime factorization of 38174 in exponential form is:

38174 = 21 × 190871

Step-3: Factors of 38157

List of positive integer factors of 38157 that divides 38157 without a remainder.

1, 3, 7, 21, 23, 69, 79, 161, 237, 483, 553, 1659, 1817, 5451, 12719

Step-4: Factors of 38174

List of positive integer factors of 38174 that divides 38157 without a remainder.

1, 2, 19087

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38157 and 38174. The biggest common factor number is the GCF number.
So the greatest common factor 38157 and 38174 is 1.

Also check out the Least Common Multiple of 38157 and 38174