What is the Greatest Common Factor of 61148 and 61168?

Greatest common factor (GCF) of 61148 and 61168 is 4.

GCF(61148,61168) = 4

We will now calculate the prime factors of 61148 and 61168, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61148 and 61168.

How to find the GCF of 61148 and 61168?

We will first find the prime factorization of 61148 and 61168. After we will calculate the factors of 61148 and 61168 and find the biggest common factor number .

Step-1: Prime Factorization of 61148

Prime factors of 61148 are 2, 15287. Prime factorization of 61148 in exponential form is:

61148 = 2² × 15287¹

Step-2: Prime Factorization of 61168

Prime factors of 61168 are 2, 3823. Prime factorization of 61168 in exponential form is:

61168 = 2⁴ × 3823¹

Step-3: Factors of 61148

List of positive integer factors of 61148 that divides 61148 without a remainder.

1, 2, 4, 15287, 30574

Step-4: Factors of 61168

List of positive integer factors of 61168 that divides 61148 without a remainder.

1, 2, 4, 8, 16, 3823, 7646, 15292, 30584

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61148 and 61168. The biggest common factor number is the GCF number.
So the greatest common factor 61148 and 61168 is 4.

Also check out the Least Common Multiple of 61148 and 61168