What is the Greatest Common Factor of 36936 and 36942?

Greatest common factor (GCF) of 36936 and 36942 is 6.

GCF(36936,36942) = 6

We will now calculate the prime factors of 36936 and 36942, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36936 and 36942.

How to find the GCF of 36936 and 36942?

We will first find the prime factorization of 36936 and 36942. After we will calculate the factors of 36936 and 36942 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 36942

Prime factors of 36942 are 2, 3, 47, 131. Prime factorization of 36942 in exponential form is:

36942 = 2¹ × 3¹ × 47¹ × 131¹

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 36942

List of positive integer factors of 36942 that divides 36936 without a remainder.

1, 2, 3, 6, 47, 94, 131, 141, 262, 282, 393, 786, 6157, 12314, 18471

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36936 and 36942. The biggest common factor number is the GCF number.
So the greatest common factor 36936 and 36942 is 6.

Also check out the Least Common Multiple of 36936 and 36942