What is the Greatest Common Factor of 37014 and 37018?

Greatest common factor (GCF) of 37014 and 37018 is 2.

GCF(37014,37018) = 2

We will now calculate the prime factors of 37014 and 37018, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37014 and 37018.

How to find the GCF of 37014 and 37018?

We will first find the prime factorization of 37014 and 37018. After we will calculate the factors of 37014 and 37018 and find the biggest common factor number .

Step-1: Prime Factorization of 37014

Prime factors of 37014 are 2, 3, 31, 199. Prime factorization of 37014 in exponential form is:

37014 = 2¹ × 3¹ × 31¹ × 199¹

Step-2: Prime Factorization of 37018

Prime factors of 37018 are 2, 83, 223. Prime factorization of 37018 in exponential form is:

37018 = 2¹ × 83¹ × 223¹

Step-3: Factors of 37014

List of positive integer factors of 37014 that divides 37014 without a remainder.

1, 2, 3, 6, 31, 62, 93, 186, 199, 398, 597, 1194, 6169, 12338, 18507

Step-4: Factors of 37018

List of positive integer factors of 37018 that divides 37014 without a remainder.

1, 2, 83, 166, 223, 446, 18509

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37014 and 37018. The biggest common factor number is the GCF number.
So the greatest common factor 37014 and 37018 is 2.

Also check out the Least Common Multiple of 37014 and 37018