What is the Greatest Common Factor of 82996 and 83005?

Greatest common factor (GCF) of 82996 and 83005 is 1.

GCF(82996,83005) = 1

We will now calculate the prime factors of 82996 and 83005, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82996 and 83005.

How to find the GCF of 82996 and 83005?

We will first find the prime factorization of 82996 and 83005. After we will calculate the factors of 82996 and 83005 and find the biggest common factor number .

Step-1: Prime Factorization of 82996

Prime factors of 82996 are 2, 20749. Prime factorization of 82996 in exponential form is:

82996 = 2² × 20749¹

Step-2: Prime Factorization of 83005

Prime factors of 83005 are 5, 13, 1277. Prime factorization of 83005 in exponential form is:

83005 = 5¹ × 13¹ × 1277¹

Step-3: Factors of 82996

List of positive integer factors of 82996 that divides 82996 without a remainder.

1, 2, 4, 20749, 41498

Step-4: Factors of 83005

List of positive integer factors of 83005 that divides 82996 without a remainder.

1, 5, 13, 65, 1277, 6385, 16601

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82996 and 83005. The biggest common factor number is the GCF number.
So the greatest common factor 82996 and 83005 is 1.

Also check out the Least Common Multiple of 82996 and 83005