What is the Greatest Common Factor of 36613 and 36632?

Greatest common factor (GCF) of 36613 and 36632 is 19.

GCF(36613,36632) = 19

We will now calculate the prime factors of 36613 and 36632, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36613 and 36632.

How to find the GCF of 36613 and 36632?

We will first find the prime factorization of 36613 and 36632. After we will calculate the factors of 36613 and 36632 and find the biggest common factor number .

Step-1: Prime Factorization of 36613

Prime factors of 36613 are 19, 41, 47. Prime factorization of 36613 in exponential form is:

36613 = 19¹ × 41¹ × 47¹

Step-2: Prime Factorization of 36632

Prime factors of 36632 are 2, 19, 241. Prime factorization of 36632 in exponential form is:

36632 = 2³ × 19¹ × 241¹

Step-3: Factors of 36613

List of positive integer factors of 36613 that divides 36613 without a remainder.

1, 19, 41, 47, 779, 893, 1927

Step-4: Factors of 36632

List of positive integer factors of 36632 that divides 36613 without a remainder.

1, 2, 4, 8, 19, 38, 76, 152, 241, 482, 964, 1928, 4579, 9158, 18316

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36613 and 36632. The biggest common factor number is the GCF number.
So the greatest common factor 36613 and 36632 is 19.

Also check out the Least Common Multiple of 36613 and 36632