What is the Greatest Common Factor of 61034 and 61048?

Greatest common factor (GCF) of 61034 and 61048 is 2.

GCF(61034,61048) = 2

We will now calculate the prime factors of 61034 and 61048, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61034 and 61048.

How to find the GCF of 61034 and 61048?

We will first find the prime factorization of 61034 and 61048. After we will calculate the factors of 61034 and 61048 and find the biggest common factor number .

Step-1: Prime Factorization of 61034

Prime factors of 61034 are 2, 30517. Prime factorization of 61034 in exponential form is:

61034 = 2¹ × 30517¹

Step-2: 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-3: Factors of 61034

List of positive integer factors of 61034 that divides 61034 without a remainder.

1, 2, 30517

Step-4: Factors of 61048

List of positive integer factors of 61048 that divides 61034 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61034 and 61048. The biggest common factor number is the GCF number.
So the greatest common factor 61034 and 61048 is 2.

Also check out the Least Common Multiple of 61034 and 61048