What is the Greatest Common Factor of 61669 and 61679?

Greatest common factor (GCF) of 61669 and 61679 is 1.

GCF(61669,61679) = 1

We will now calculate the prime factors of 61669 and 61679, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61669 and 61679.

How to find the GCF of 61669 and 61679?

We will first find the prime factorization of 61669 and 61679. After we will calculate the factors of 61669 and 61679 and find the biggest common factor number .

Step-1: Prime Factorization of 61669

Prime factors of 61669 are 83, 743. Prime factorization of 61669 in exponential form is:

61669 = 83¹ × 743¹

Step-2: Prime Factorization of 61679

Prime factors of 61679 are 37, 1667. Prime factorization of 61679 in exponential form is:

61679 = 37¹ × 1667¹

Step-3: Factors of 61669

List of positive integer factors of 61669 that divides 61669 without a remainder.

1, 83, 743

Step-4: Factors of 61679

List of positive integer factors of 61679 that divides 61669 without a remainder.

1, 37, 1667

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61669 and 61679. The biggest common factor number is the GCF number.
So the greatest common factor 61669 and 61679 is 1.

Also check out the Least Common Multiple of 61669 and 61679