What is the Greatest Common Factor of 82970 and 82983?

Greatest common factor (GCF) of 82970 and 82983 is 1.

GCF(82970,82983) = 1

We will now calculate the prime factors of 82970 and 82983, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82970 and 82983.

How to find the GCF of 82970 and 82983?

We will first find the prime factorization of 82970 and 82983. After we will calculate the factors of 82970 and 82983 and find the biggest common factor number .

Step-1: Prime Factorization of 82970

Prime factors of 82970 are 2, 5, 8297. Prime factorization of 82970 in exponential form is:

82970 = 2¹ × 5¹ × 8297¹

Step-2: Prime Factorization of 82983

Prime factors of 82983 are 3, 139, 199. Prime factorization of 82983 in exponential form is:

82983 = 3¹ × 139¹ × 199¹

Step-3: Factors of 82970

List of positive integer factors of 82970 that divides 82970 without a remainder.

1, 2, 5, 10, 8297, 16594, 41485

Step-4: Factors of 82983

List of positive integer factors of 82983 that divides 82970 without a remainder.

1, 3, 139, 199, 417, 597, 27661

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82970 and 82983. The biggest common factor number is the GCF number.
So the greatest common factor 82970 and 82983 is 1.

Also check out the Least Common Multiple of 82970 and 82983