What is the Greatest Common Factor of 36638 and 36648?

Greatest common factor (GCF) of 36638 and 36648 is 2.

GCF(36638,36648) = 2

We will now calculate the prime factors of 36638 and 36648, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36638 and 36648.

How to find the GCF of 36638 and 36648?

We will first find the prime factorization of 36638 and 36648. After we will calculate the factors of 36638 and 36648 and find the biggest common factor number .

Step-1: Prime Factorization of 36638

Prime factors of 36638 are 2, 7, 2617. Prime factorization of 36638 in exponential form is:

36638 = 2¹ × 7¹ × 2617¹

Step-2: Prime Factorization of 36648

Prime factors of 36648 are 2, 3, 509. Prime factorization of 36648 in exponential form is:

36648 = 2³ × 3² × 509¹

Step-3: Factors of 36638

List of positive integer factors of 36638 that divides 36638 without a remainder.

1, 2, 7, 14, 2617, 5234, 18319

Step-4: Factors of 36648

List of positive integer factors of 36648 that divides 36638 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 509, 1018, 1527, 2036, 3054, 4072, 4581, 6108, 9162, 12216, 18324

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36638 and 36648. The biggest common factor number is the GCF number.
So the greatest common factor 36638 and 36648 is 2.

Also check out the Least Common Multiple of 36638 and 36648