What is the Greatest Common Factor of 36982 and 36993?

Greatest common factor (GCF) of 36982 and 36993 is 11.

GCF(36982,36993) = 11

We will now calculate the prime factors of 36982 and 36993, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36982 and 36993.

How to find the GCF of 36982 and 36993?

We will first find the prime factorization of 36982 and 36993. After we will calculate the factors of 36982 and 36993 and find the biggest common factor number .

Step-1: Prime Factorization of 36982

Prime factors of 36982 are 2, 11, 41. Prime factorization of 36982 in exponential form is:

36982 = 2¹ × 11¹ × 41²

Step-2: Prime Factorization of 36993

Prime factors of 36993 are 3, 11, 19, 59. Prime factorization of 36993 in exponential form is:

36993 = 3¹ × 11¹ × 19¹ × 59¹

Step-3: Factors of 36982

List of positive integer factors of 36982 that divides 36982 without a remainder.

1, 2, 11, 22, 41, 82, 451, 902, 1681, 3362, 18491

Step-4: Factors of 36993

List of positive integer factors of 36993 that divides 36982 without a remainder.

1, 3, 11, 19, 33, 57, 59, 177, 209, 627, 649, 1121, 1947, 3363, 12331

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36982 and 36993. The biggest common factor number is the GCF number.
So the greatest common factor 36982 and 36993 is 11.

Also check out the Least Common Multiple of 36982 and 36993