What is the Greatest Common Factor of 83657 and 83673?

Greatest common factor (GCF) of 83657 and 83673 is 1.

GCF(83657,83673) = 1

We will now calculate the prime factors of 83657 and 83673, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83657 and 83673.

How to find the GCF of 83657 and 83673?

We will first find the prime factorization of 83657 and 83673. After we will calculate the factors of 83657 and 83673 and find the biggest common factor number .

Step-1: Prime Factorization of 83657

Prime factors of 83657 are 7, 17, 19, 37. Prime factorization of 83657 in exponential form is:

83657 = 7¹ × 17¹ × 19¹ × 37¹

Step-2: Prime Factorization of 83673

Prime factors of 83673 are 3, 1033. Prime factorization of 83673 in exponential form is:

83673 = 3⁴ × 1033¹

Step-3: Factors of 83657

List of positive integer factors of 83657 that divides 83657 without a remainder.

1, 7, 17, 19, 37, 119, 133, 259, 323, 629, 703, 2261, 4403, 4921, 11951

Step-4: Factors of 83673

List of positive integer factors of 83673 that divides 83657 without a remainder.

1, 3, 9, 27, 81, 1033, 3099, 9297, 27891

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83657 and 83673. The biggest common factor number is the GCF number.
So the greatest common factor 83657 and 83673 is 1.

Also check out the Least Common Multiple of 83657 and 83673