What is the Greatest Common Factor of 60648 and 60665?

Greatest common factor (GCF) of 60648 and 60665 is 1.

GCF(60648,60665) = 1

We will now calculate the prime factors of 60648 and 60665, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60648 and 60665.

How to find the GCF of 60648 and 60665?

We will first find the prime factorization of 60648 and 60665. After we will calculate the factors of 60648 and 60665 and find the biggest common factor number .

Step-1: Prime Factorization of 60648

Prime factors of 60648 are 2, 3, 7, 19. Prime factorization of 60648 in exponential form is:

60648 = 2³ × 3¹ × 7¹ × 19²

Step-2: Prime Factorization of 60665

Prime factors of 60665 are 5, 11, 1103. Prime factorization of 60665 in exponential form is:

60665 = 5¹ × 11¹ × 1103¹

Step-3: Factors of 60648

List of positive integer factors of 60648 that divides 60648 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 19, 21, 24, 28, 38, 42, 56, 57, 76, 84, 114, 133, 152, 168, 228, 266, 361, 399, 456, 532, 722, 798, 1064, 1083, 1444, 1596, 2166, 2527, 2888, 3192, 4332, 5054, 7581, 8664, 10108, 15162, 20216, 30324

Step-4: Factors of 60665

List of positive integer factors of 60665 that divides 60648 without a remainder.

1, 5, 11, 55, 1103, 5515, 12133

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60648 and 60665. The biggest common factor number is the GCF number.
So the greatest common factor 60648 and 60665 is 1.

Also check out the Least Common Multiple of 60648 and 60665