What is the Greatest Common Factor of 82976 and 82987?

Greatest common factor (GCF) of 82976 and 82987 is 1.

GCF(82976,82987) = 1

We will now calculate the prime factors of 82976 and 82987, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82976 and 82987.

How to find the GCF of 82976 and 82987?

We will first find the prime factorization of 82976 and 82987. After we will calculate the factors of 82976 and 82987 and find the biggest common factor number .

Step-1: Prime Factorization of 82976

Prime factors of 82976 are 2, 2593. Prime factorization of 82976 in exponential form is:

82976 = 2⁵ × 2593¹

Step-2: Prime Factorization of 82987

Prime factors of 82987 are 31, 2677. Prime factorization of 82987 in exponential form is:

82987 = 31¹ × 2677¹

Step-3: Factors of 82976

List of positive integer factors of 82976 that divides 82976 without a remainder.

1, 2, 4, 8, 16, 32, 2593, 5186, 10372, 20744, 41488

Step-4: Factors of 82987

List of positive integer factors of 82987 that divides 82976 without a remainder.

1, 31, 2677

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82976 and 82987. The biggest common factor number is the GCF number.
So the greatest common factor 82976 and 82987 is 1.

Also check out the Least Common Multiple of 82976 and 82987