What is the Greatest Common Factor of 61665 and 61673?

Greatest common factor (GCF) of 61665 and 61673 is 1.

GCF(61665,61673) = 1

We will now calculate the prime factors of 61665 and 61673, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61665 and 61673.

How to find the GCF of 61665 and 61673?

We will first find the prime factorization of 61665 and 61673. After we will calculate the factors of 61665 and 61673 and find the biggest common factor number .

Step-1: Prime Factorization of 61665

Prime factors of 61665 are 3, 5, 4111. Prime factorization of 61665 in exponential form is:

61665 = 3¹ × 5¹ × 4111¹

Step-2: Prime Factorization of 61673

Prime factors of 61673 are 61673. Prime factorization of 61673 in exponential form is:

61673 = 61673¹

Step-3: Factors of 61665

List of positive integer factors of 61665 that divides 61665 without a remainder.

1, 3, 5, 15, 4111, 12333, 20555

Step-4: Factors of 61673

List of positive integer factors of 61673 that divides 61665 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61665 and 61673. The biggest common factor number is the GCF number.
So the greatest common factor 61665 and 61673 is 1.

Also check out the Least Common Multiple of 61665 and 61673