What is the Greatest Common Factor of 83665 and 83677?

Greatest common factor (GCF) of 83665 and 83677 is 1.

GCF(83665,83677) = 1

We will now calculate the prime factors of 83665 and 83677, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83665 and 83677.

How to find the GCF of 83665 and 83677?

We will first find the prime factorization of 83665 and 83677. After we will calculate the factors of 83665 and 83677 and find the biggest common factor number .

Step-1: Prime Factorization of 83665

Prime factors of 83665 are 5, 29, 577. Prime factorization of 83665 in exponential form is:

83665 = 5¹ × 29¹ × 577¹

Step-2: Prime Factorization of 83677

Prime factors of 83677 are 11, 7607. Prime factorization of 83677 in exponential form is:

83677 = 11¹ × 7607¹

Step-3: Factors of 83665

List of positive integer factors of 83665 that divides 83665 without a remainder.

1, 5, 29, 145, 577, 2885, 16733

Step-4: Factors of 83677

List of positive integer factors of 83677 that divides 83665 without a remainder.

1, 11, 7607

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83665 and 83677. The biggest common factor number is the GCF number.
So the greatest common factor 83665 and 83677 is 1.

Also check out the Least Common Multiple of 83665 and 83677