What is the Greatest Common Factor of 36603 and 36617?

Greatest common factor (GCF) of 36603 and 36617 is 7.

GCF(36603,36617) = 7

We will now calculate the prime factors of 36603 and 36617, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36603 and 36617.

How to find the GCF of 36603 and 36617?

We will first find the prime factorization of 36603 and 36617. After we will calculate the factors of 36603 and 36617 and find the biggest common factor number .

Step-1: Prime Factorization of 36603

Prime factors of 36603 are 3, 7, 83. Prime factorization of 36603 in exponential form is:

36603 = 3² × 7² × 83¹

Step-2: Prime Factorization of 36617

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

36617 = 7¹ × 5231¹

Step-3: Factors of 36603

List of positive integer factors of 36603 that divides 36603 without a remainder.

1, 3, 7, 9, 21, 49, 63, 83, 147, 249, 441, 581, 747, 1743, 4067, 5229, 12201

Step-4: Factors of 36617

List of positive integer factors of 36617 that divides 36603 without a remainder.

1, 7, 5231

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36603 and 36617. The biggest common factor number is the GCF number.
So the greatest common factor 36603 and 36617 is 7.

Also check out the Least Common Multiple of 36603 and 36617