What is the Greatest Common Factor of 37098 and 37103?

Greatest common factor (GCF) of 37098 and 37103 is 1.

GCF(37098,37103) = 1

We will now calculate the prime factors of 37098 and 37103, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37098 and 37103.

How to find the GCF of 37098 and 37103?

We will first find the prime factorization of 37098 and 37103. After we will calculate the factors of 37098 and 37103 and find the biggest common factor number .

Step-1: Prime Factorization of 37098

Prime factors of 37098 are 2, 3, 229. Prime factorization of 37098 in exponential form is:

37098 = 2¹ × 3⁴ × 229¹

Step-2: Prime Factorization of 37103

Prime factors of 37103 are 11, 3373. Prime factorization of 37103 in exponential form is:

37103 = 11¹ × 3373¹

Step-3: Factors of 37098

List of positive integer factors of 37098 that divides 37098 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 229, 458, 687, 1374, 2061, 4122, 6183, 12366, 18549

Step-4: Factors of 37103

List of positive integer factors of 37103 that divides 37098 without a remainder.

1, 11, 3373

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37098 and 37103. The biggest common factor number is the GCF number.
So the greatest common factor 37098 and 37103 is 1.

Also check out the Least Common Multiple of 37098 and 37103