What is the Greatest Common Factor of 86984 and 87002?

Greatest common factor (GCF) of 86984 and 87002 is 2.

GCF(86984,87002) = 2

We will now calculate the prime factors of 86984 and 87002, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86984 and 87002.

How to find the GCF of 86984 and 87002?

We will first find the prime factorization of 86984 and 87002. After we will calculate the factors of 86984 and 87002 and find the biggest common factor number .

Step-1: Prime Factorization of 86984

Prime factors of 86984 are 2, 83, 131. Prime factorization of 86984 in exponential form is:

86984 = 2³ × 83¹ × 131¹

Step-2: Prime Factorization of 87002

Prime factors of 87002 are 2, 41, 1061. Prime factorization of 87002 in exponential form is:

87002 = 2¹ × 41¹ × 1061¹

Step-3: Factors of 86984

List of positive integer factors of 86984 that divides 86984 without a remainder.

1, 2, 4, 8, 83, 131, 166, 262, 332, 524, 664, 1048, 10873, 21746, 43492

Step-4: Factors of 87002

List of positive integer factors of 87002 that divides 86984 without a remainder.

1, 2, 41, 82, 1061, 2122, 43501

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86984 and 87002. The biggest common factor number is the GCF number.
So the greatest common factor 86984 and 87002 is 2.

Also check out the Least Common Multiple of 86984 and 87002