What is the Greatest Common Factor of 36998 and 37014?

Greatest common factor (GCF) of 36998 and 37014 is 2.

GCF(36998,37014) = 2

We will now calculate the prime factors of 36998 and 37014, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36998 and 37014.

How to find the GCF of 36998 and 37014?

We will first find the prime factorization of 36998 and 37014. After we will calculate the factors of 36998 and 37014 and find the biggest common factor number .

Step-1: Prime Factorization of 36998

Prime factors of 36998 are 2, 13, 1423. Prime factorization of 36998 in exponential form is:

36998 = 2¹ × 13¹ × 1423¹

Step-2: 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-3: Factors of 36998

List of positive integer factors of 36998 that divides 36998 without a remainder.

1, 2, 13, 26, 1423, 2846, 18499

Step-4: Factors of 37014

List of positive integer factors of 37014 that divides 36998 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36998 and 37014. The biggest common factor number is the GCF number.
So the greatest common factor 36998 and 37014 is 2.

Also check out the Least Common Multiple of 36998 and 37014