What is the Greatest Common Factor of 60641 and 60648?

Greatest common factor (GCF) of 60641 and 60648 is 7.

GCF(60641,60648) = 7

We will now calculate the prime factors of 60641 and 60648, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60641 and 60648.

How to find the GCF of 60641 and 60648?

We will first find the prime factorization of 60641 and 60648. After we will calculate the factors of 60641 and 60648 and find the biggest common factor number .

Step-1: Prime Factorization of 60641

Prime factors of 60641 are 7, 8663. Prime factorization of 60641 in exponential form is:

60641 = 7¹ × 8663¹

Step-2: 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-3: Factors of 60641

List of positive integer factors of 60641 that divides 60641 without a remainder.

1, 7, 8663

Step-4: Factors of 60648

List of positive integer factors of 60648 that divides 60641 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60641 and 60648. The biggest common factor number is the GCF number.
So the greatest common factor 60641 and 60648 is 7.

Also check out the Least Common Multiple of 60641 and 60648