What is the Greatest Common Factor of 36936 and 36943?

Greatest common factor (GCF) of 36936 and 36943 is 1.

GCF(36936,36943) = 1

We will now calculate the prime factors of 36936 and 36943, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36936 and 36943.

How to find the GCF of 36936 and 36943?

We will first find the prime factorization of 36936 and 36943. After we will calculate the factors of 36936 and 36943 and find the biggest common factor number .

Step-1: Prime Factorization of 36936

Prime factors of 36936 are 2, 3, 19. Prime factorization of 36936 in exponential form is:

36936 = 2³ × 3⁵ × 19¹

Step-2: Prime Factorization of 36943

Prime factors of 36943 are 36943. Prime factorization of 36943 in exponential form is:

36943 = 36943¹

Step-3: Factors of 36936

List of positive integer factors of 36936 that divides 36936 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 19, 24, 27, 36, 38, 54, 57, 72, 76, 81, 108, 114, 152, 162, 171, 216, 228, 243, 324, 342, 456, 486, 513, 648, 684, 972, 1026, 1368, 1539, 1944, 2052, 3078, 4104, 4617, 6156, 9234, 12312, 18468

Step-4: Factors of 36943

List of positive integer factors of 36943 that divides 36936 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36936 and 36943. The biggest common factor number is the GCF number.
So the greatest common factor 36936 and 36943 is 1.

Also check out the Least Common Multiple of 36936 and 36943