What is the Greatest Common Factor of 60648 and 60662?

Greatest common factor (GCF) of 60648 and 60662 is 14.

GCF(60648,60662) = 14

We will now calculate the prime factors of 60648 and 60662, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60648 and 60662.

How to find the GCF of 60648 and 60662?

We will first find the prime factorization of 60648 and 60662. After we will calculate the factors of 60648 and 60662 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 60662

Prime factors of 60662 are 2, 7, 619. Prime factorization of 60662 in exponential form is:

60662 = 2¹ × 7² × 619¹

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 60662

List of positive integer factors of 60662 that divides 60648 without a remainder.

1, 2, 7, 14, 49, 98, 619, 1238, 4333, 8666, 30331

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60648 and 60662. The biggest common factor number is the GCF number.
So the greatest common factor 60648 and 60662 is 14.

Also check out the Least Common Multiple of 60648 and 60662