What is the Greatest Common Factor of 36648 and 36652?

Greatest common factor (GCF) of 36648 and 36652 is 4.

GCF(36648,36652) = 4

We will now calculate the prime factors of 36648 and 36652, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36648 and 36652.

How to find the GCF of 36648 and 36652?

We will first find the prime factorization of 36648 and 36652. After we will calculate the factors of 36648 and 36652 and find the biggest common factor number .

Step-1: Prime Factorization of 36648

Prime factors of 36648 are 2, 3, 509. Prime factorization of 36648 in exponential form is:

36648 = 2³ × 3² × 509¹

Step-2: Prime Factorization of 36652

Prime factors of 36652 are 2, 7, 11, 17. Prime factorization of 36652 in exponential form is:

36652 = 2² × 7² × 11¹ × 17¹

Step-3: Factors of 36648

List of positive integer factors of 36648 that divides 36648 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 509, 1018, 1527, 2036, 3054, 4072, 4581, 6108, 9162, 12216, 18324

Step-4: Factors of 36652

List of positive integer factors of 36652 that divides 36648 without a remainder.

1, 2, 4, 7, 11, 14, 17, 22, 28, 34, 44, 49, 68, 77, 98, 119, 154, 187, 196, 238, 308, 374, 476, 539, 748, 833, 1078, 1309, 1666, 2156, 2618, 3332, 5236, 9163, 18326

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36648 and 36652. The biggest common factor number is the GCF number.
So the greatest common factor 36648 and 36652 is 4.

Also check out the Least Common Multiple of 36648 and 36652