What is the Greatest Common Factor of 61648 and 61667?

Greatest common factor (GCF) of 61648 and 61667 is 1.

GCF(61648,61667) = 1

We will now calculate the prime factors of 61648 and 61667, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61648 and 61667.

How to find the GCF of 61648 and 61667?

We will first find the prime factorization of 61648 and 61667. After we will calculate the factors of 61648 and 61667 and find the biggest common factor number .

Step-1: Prime Factorization of 61648

Prime factors of 61648 are 2, 3853. Prime factorization of 61648 in exponential form is:

61648 = 2⁴ × 3853¹

Step-2: Prime Factorization of 61667

Prime factors of 61667 are 61667. Prime factorization of 61667 in exponential form is:

61667 = 61667¹

Step-3: Factors of 61648

List of positive integer factors of 61648 that divides 61648 without a remainder.

1, 2, 4, 8, 16, 3853, 7706, 15412, 30824

Step-4: Factors of 61667

List of positive integer factors of 61667 that divides 61648 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61648 and 61667. The biggest common factor number is the GCF number.
So the greatest common factor 61648 and 61667 is 1.

Also check out the Least Common Multiple of 61648 and 61667