What is the Greatest Common Factor of 60636 and 60640?

Greatest common factor (GCF) of 60636 and 60640 is 4.

GCF(60636,60640) = 4

We will now calculate the prime factors of 60636 and 60640, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60636 and 60640.

How to find the GCF of 60636 and 60640?

We will first find the prime factorization of 60636 and 60640. After we will calculate the factors of 60636 and 60640 and find the biggest common factor number .

Step-1: Prime Factorization of 60636

Prime factors of 60636 are 2, 3, 31, 163. Prime factorization of 60636 in exponential form is:

60636 = 2² × 3¹ × 31¹ × 163¹

Step-2: Prime Factorization of 60640

Prime factors of 60640 are 2, 5, 379. Prime factorization of 60640 in exponential form is:

60640 = 2⁵ × 5¹ × 379¹

Step-3: Factors of 60636

List of positive integer factors of 60636 that divides 60636 without a remainder.

1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 163, 186, 326, 372, 489, 652, 978, 1956, 5053, 10106, 15159, 20212, 30318

Step-4: Factors of 60640

List of positive integer factors of 60640 that divides 60636 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160, 379, 758, 1516, 1895, 3032, 3790, 6064, 7580, 12128, 15160, 30320

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60636 and 60640. The biggest common factor number is the GCF number.
So the greatest common factor 60636 and 60640 is 4.

Also check out the Least Common Multiple of 60636 and 60640