What is the Greatest Common Factor of 61048 and 61066?

Greatest common factor (GCF) of 61048 and 61066 is 2.

GCF(61048,61066) = 2

We will now calculate the prime factors of 61048 and 61066, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61048 and 61066.

How to find the GCF of 61048 and 61066?

We will first find the prime factorization of 61048 and 61066. After we will calculate the factors of 61048 and 61066 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 61066

Prime factors of 61066 are 2, 19, 1607. Prime factorization of 61066 in exponential form is:

61066 = 2¹ × 19¹ × 1607¹

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 61066

List of positive integer factors of 61066 that divides 61048 without a remainder.

1, 2, 19, 38, 1607, 3214, 30533

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61048 and 61066. The biggest common factor number is the GCF number.
So the greatest common factor 61048 and 61066 is 2.

Also check out the Least Common Multiple of 61048 and 61066