What is the Greatest Common Factor of 36792 and 36812?

Greatest common factor (GCF) of 36792 and 36812 is 4.

GCF(36792,36812) = 4

We will now calculate the prime factors of 36792 and 36812, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36792 and 36812.

How to find the GCF of 36792 and 36812?

We will first find the prime factorization of 36792 and 36812. After we will calculate the factors of 36792 and 36812 and find the biggest common factor number .

Step-1: Prime Factorization of 36792

Prime factors of 36792 are 2, 3, 7, 73. Prime factorization of 36792 in exponential form is:

36792 = 2³ × 3² × 7¹ × 73¹

Step-2: Prime Factorization of 36812

Prime factors of 36812 are 2, 9203. Prime factorization of 36812 in exponential form is:

36812 = 2² × 9203¹

Step-3: Factors of 36792

List of positive integer factors of 36792 that divides 36792 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 73, 84, 126, 146, 168, 219, 252, 292, 438, 504, 511, 584, 657, 876, 1022, 1314, 1533, 1752, 2044, 2628, 3066, 4088, 4599, 5256, 6132, 9198, 12264, 18396

Step-4: Factors of 36812

List of positive integer factors of 36812 that divides 36792 without a remainder.

1, 2, 4, 9203, 18406

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36792 and 36812. The biggest common factor number is the GCF number.
So the greatest common factor 36792 and 36812 is 4.

Also check out the Least Common Multiple of 36792 and 36812