What is the Greatest Common Factor of 60634 and 60648?

Greatest common factor (GCF) of 60634 and 60648 is 14.

GCF(60634,60648) = 14

We will now calculate the prime factors of 60634 and 60648, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60634 and 60648.

How to find the GCF of 60634 and 60648?

We will first find the prime factorization of 60634 and 60648. After we will calculate the factors of 60634 and 60648 and find the biggest common factor number .

Step-1: Prime Factorization of 60634

Prime factors of 60634 are 2, 7, 61, 71. Prime factorization of 60634 in exponential form is:

60634 = 2¹ × 7¹ × 61¹ × 71¹

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 60634

List of positive integer factors of 60634 that divides 60634 without a remainder.

1, 2, 7, 14, 61, 71, 122, 142, 427, 497, 854, 994, 4331, 8662, 30317

Step-4: Factors of 60648

List of positive integer factors of 60648 that divides 60634 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 60634 and 60648. The biggest common factor number is the GCF number.
So the greatest common factor 60634 and 60648 is 14.

Also check out the Least Common Multiple of 60634 and 60648