What is the Greatest Common Factor of 36632 and 36651?

Greatest common factor (GCF) of 36632 and 36651 is 19.

GCF(36632,36651) = 19

We will now calculate the prime factors of 36632 and 36651, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36632 and 36651.

How to find the GCF of 36632 and 36651?

We will first find the prime factorization of 36632 and 36651. After we will calculate the factors of 36632 and 36651 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 36651

Prime factors of 36651 are 3, 19, 643. Prime factorization of 36651 in exponential form is:

36651 = 3¹ × 19¹ × 643¹

Step-3: Factors of 36632

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

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

Step-4: Factors of 36651

List of positive integer factors of 36651 that divides 36632 without a remainder.

1, 3, 19, 57, 643, 1929, 12217

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36632 and 36651. The biggest common factor number is the GCF number.
So the greatest common factor 36632 and 36651 is 19.

Also check out the Least Common Multiple of 36632 and 36651