What is the Greatest Common Factor of 36617 and 36624?

Greatest common factor (GCF) of 36617 and 36624 is 7.

GCF(36617,36624) = 7

We will now calculate the prime factors of 36617 and 36624, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36617 and 36624.

How to find the GCF of 36617 and 36624?

We will first find the prime factorization of 36617 and 36624. After we will calculate the factors of 36617 and 36624 and find the biggest common factor number .

Step-1: Prime Factorization of 36617

Prime factors of 36617 are 7, 5231. Prime factorization of 36617 in exponential form is:

36617 = 7¹ × 5231¹

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 36617

List of positive integer factors of 36617 that divides 36617 without a remainder.

1, 7, 5231

Step-4: Factors of 36624

List of positive integer factors of 36624 that divides 36617 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 36617 and 36624. The biggest common factor number is the GCF number.
So the greatest common factor 36617 and 36624 is 7.

Also check out the Least Common Multiple of 36617 and 36624