What is the Greatest Common Factor of 60994 and 61008?

Greatest common factor (GCF) of 60994 and 61008 is 2.

GCF(60994,61008) = 2

We will now calculate the prime factors of 60994 and 61008, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60994 and 61008.

How to find the GCF of 60994 and 61008?

We will first find the prime factorization of 60994 and 61008. After we will calculate the factors of 60994 and 61008 and find the biggest common factor number .

Step-1: Prime Factorization of 60994

Prime factors of 60994 are 2, 30497. Prime factorization of 60994 in exponential form is:

60994 = 2¹ × 30497¹

Step-2: Prime Factorization of 61008

Prime factors of 61008 are 2, 3, 31, 41. Prime factorization of 61008 in exponential form is:

61008 = 2⁴ × 3¹ × 31¹ × 41¹

Step-3: Factors of 60994

List of positive integer factors of 60994 that divides 60994 without a remainder.

1, 2, 30497

Step-4: Factors of 61008

List of positive integer factors of 61008 that divides 60994 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 31, 41, 48, 62, 82, 93, 123, 124, 164, 186, 246, 248, 328, 372, 492, 496, 656, 744, 984, 1271, 1488, 1968, 2542, 3813, 5084, 7626, 10168, 15252, 20336, 30504

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60994 and 61008. The biggest common factor number is the GCF number.
So the greatest common factor 60994 and 61008 is 2.

Also check out the Least Common Multiple of 60994 and 61008