What is the Greatest Common Factor of 36838 and 36857?

Greatest common factor (GCF) of 36838 and 36857 is 1.

GCF(36838,36857) = 1

We will now calculate the prime factors of 36838 and 36857, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36838 and 36857.

How to find the GCF of 36838 and 36857?

We will first find the prime factorization of 36838 and 36857. After we will calculate the factors of 36838 and 36857 and find the biggest common factor number .

Step-1: Prime Factorization of 36838

Prime factors of 36838 are 2, 113, 163. Prime factorization of 36838 in exponential form is:

36838 = 2¹ × 113¹ × 163¹

Step-2: Prime Factorization of 36857

Prime factors of 36857 are 36857. Prime factorization of 36857 in exponential form is:

36857 = 36857¹

Step-3: Factors of 36838

List of positive integer factors of 36838 that divides 36838 without a remainder.

1, 2, 113, 163, 226, 326, 18419

Step-4: Factors of 36857

List of positive integer factors of 36857 that divides 36838 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36838 and 36857. The biggest common factor number is the GCF number.
So the greatest common factor 36838 and 36857 is 1.

Also check out the Least Common Multiple of 36838 and 36857