What is the Greatest Common Factor of 61024 and 61044?

Greatest common factor (GCF) of 61024 and 61044 is 4.

GCF(61024,61044) = 4

We will now calculate the prime factors of 61024 and 61044, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61024 and 61044.

How to find the GCF of 61024 and 61044?

We will first find the prime factorization of 61024 and 61044. After we will calculate the factors of 61024 and 61044 and find the biggest common factor number .

Step-1: Prime Factorization of 61024

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

61024 = 2⁵ × 1907¹

Step-2: Prime Factorization of 61044

Prime factors of 61044 are 2, 3, 5087. Prime factorization of 61044 in exponential form is:

61044 = 2² × 3¹ × 5087¹

Step-3: Factors of 61024

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

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

Step-4: Factors of 61044

List of positive integer factors of 61044 that divides 61024 without a remainder.

1, 2, 3, 4, 6, 12, 5087, 10174, 15261, 20348, 30522

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61024 and 61044. The biggest common factor number is the GCF number.
So the greatest common factor 61024 and 61044 is 4.

Also check out the Least Common Multiple of 61024 and 61044