What is the Greatest Common Factor of 36980 and 36998?

Greatest common factor (GCF) of 36980 and 36998 is 2.

GCF(36980,36998) = 2

We will now calculate the prime factors of 36980 and 36998, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36980 and 36998.

How to find the GCF of 36980 and 36998?

We will first find the prime factorization of 36980 and 36998. After we will calculate the factors of 36980 and 36998 and find the biggest common factor number .

Step-1: Prime Factorization of 36980

Prime factors of 36980 are 2, 5, 43. Prime factorization of 36980 in exponential form is:

36980 = 2² × 5¹ × 43²

Step-2: 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-3: Factors of 36980

List of positive integer factors of 36980 that divides 36980 without a remainder.

1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860, 1849, 3698, 7396, 9245, 18490

Step-4: Factors of 36998

List of positive integer factors of 36998 that divides 36980 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36980 and 36998. The biggest common factor number is the GCF number.
So the greatest common factor 36980 and 36998 is 2.

Also check out the Least Common Multiple of 36980 and 36998