What is the Greatest Common Factor of 36606 and 36624?

Greatest common factor (GCF) of 36606 and 36624 is 6.

GCF(36606,36624) = 6

We will now calculate the prime factors of 36606 and 36624, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36606 and 36624.

How to find the GCF of 36606 and 36624?

We will first find the prime factorization of 36606 and 36624. After we will calculate the factors of 36606 and 36624 and find the biggest common factor number .

Step-1: Prime Factorization of 36606

Prime factors of 36606 are 2, 3, 6101. Prime factorization of 36606 in exponential form is:

36606 = 2¹ × 3¹ × 6101¹

Step-2: Prime Factorization of 36624

Prime factors of 36624 are 2, 3, 7, 109. Prime factorization of 36624 in exponential form is:

36624 = 2⁴ × 3¹ × 7¹ × 109¹

Step-3: Factors of 36606

List of positive integer factors of 36606 that divides 36606 without a remainder.

1, 2, 3, 6, 6101, 12202, 18303

Step-4: Factors of 36624

List of positive integer factors of 36624 that divides 36606 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 109, 112, 168, 218, 327, 336, 436, 654, 763, 872, 1308, 1526, 1744, 2289, 2616, 3052, 4578, 5232, 6104, 9156, 12208, 18312

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36606 and 36624. The biggest common factor number is the GCF number.
So the greatest common factor 36606 and 36624 is 6.

Also check out the Least Common Multiple of 36606 and 36624