What is the Greatest Common Factor of 61048 and 61064?

Greatest common factor (GCF) of 61048 and 61064 is 8.

GCF(61048,61064) = 8

We will now calculate the prime factors of 61048 and 61064, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61048 and 61064.

How to find the GCF of 61048 and 61064?

We will first find the prime factorization of 61048 and 61064. After we will calculate the factors of 61048 and 61064 and find the biggest common factor number .

Step-1: Prime Factorization of 61048

Prime factors of 61048 are 2, 13, 587. Prime factorization of 61048 in exponential form is:

61048 = 2³ × 13¹ × 587¹

Step-2: Prime Factorization of 61064

Prime factors of 61064 are 2, 17, 449. Prime factorization of 61064 in exponential form is:

61064 = 2³ × 17¹ × 449¹

Step-3: Factors of 61048

List of positive integer factors of 61048 that divides 61048 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104, 587, 1174, 2348, 4696, 7631, 15262, 30524

Step-4: Factors of 61064

List of positive integer factors of 61064 that divides 61048 without a remainder.

1, 2, 4, 8, 17, 34, 68, 136, 449, 898, 1796, 3592, 7633, 15266, 30532

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61048 and 61064. The biggest common factor number is the GCF number.
So the greatest common factor 61048 and 61064 is 8.

Also check out the Least Common Multiple of 61048 and 61064