What is the Greatest Common Factor of 36998 and 37011?

Greatest common factor (GCF) of 36998 and 37011 is 13.

GCF(36998,37011) = 13

We will now calculate the prime factors of 36998 and 37011, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36998 and 37011.

How to find the GCF of 36998 and 37011?

We will first find the prime factorization of 36998 and 37011. After we will calculate the factors of 36998 and 37011 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 37011

Prime factors of 37011 are 3, 13, 73. Prime factorization of 37011 in exponential form is:

37011 = 3¹ × 13² × 73¹

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 37011

List of positive integer factors of 37011 that divides 36998 without a remainder.

1, 3, 13, 39, 73, 169, 219, 507, 949, 2847, 12337

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36998 and 37011. The biggest common factor number is the GCF number.
So the greatest common factor 36998 and 37011 is 13.

Also check out the Least Common Multiple of 36998 and 37011