What is the Greatest Common Factor of 36635 and 36652?

Greatest common factor (GCF) of 36635 and 36652 is 17.

GCF(36635,36652) = 17

We will now calculate the prime factors of 36635 and 36652, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36635 and 36652.

How to find the GCF of 36635 and 36652?

We will first find the prime factorization of 36635 and 36652. After we will calculate the factors of 36635 and 36652 and find the biggest common factor number .

Step-1: Prime Factorization of 36635

Prime factors of 36635 are 5, 17, 431. Prime factorization of 36635 in exponential form is:

36635 = 5¹ × 17¹ × 431¹

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 36635

List of positive integer factors of 36635 that divides 36635 without a remainder.

1, 5, 17, 85, 431, 2155, 7327

Step-4: Factors of 36652

List of positive integer factors of 36652 that divides 36635 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 36635 and 36652. The biggest common factor number is the GCF number.
So the greatest common factor 36635 and 36652 is 17.

Also check out the Least Common Multiple of 36635 and 36652