What is the Greatest Common Factor of 61008 and 61024?

Greatest common factor (GCF) of 61008 and 61024 is 16.

GCF(61008,61024) = 16

We will now calculate the prime factors of 61008 and 61024, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61008 and 61024.

How to find the GCF of 61008 and 61024?

We will first find the prime factorization of 61008 and 61024. After we will calculate the factors of 61008 and 61024 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 61024

Prime factors of 61024 are 2, 1907. Prime factorization of 61024 in exponential form is:

61024 = 2⁵ × 1907¹

Step-3: Factors of 61008

List of positive integer factors of 61008 that divides 61008 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

Step-4: Factors of 61024

List of positive integer factors of 61024 that divides 61008 without a remainder.

1, 2, 4, 8, 16, 32, 1907, 3814, 7628, 15256, 30512

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61008 and 61024. The biggest common factor number is the GCF number.
So the greatest common factor 61008 and 61024 is 16.

Also check out the Least Common Multiple of 61008 and 61024