What is the Greatest Common Factor of 86990 and 86995?

Greatest common factor (GCF) of 86990 and 86995 is 5.

GCF(86990,86995) = 5

We will now calculate the prime factors of 86990 and 86995, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86990 and 86995.

How to find the GCF of 86990 and 86995?

We will first find the prime factorization of 86990 and 86995. After we will calculate the factors of 86990 and 86995 and find the biggest common factor number .

Step-1: Prime Factorization of 86990

Prime factors of 86990 are 2, 5, 8699. Prime factorization of 86990 in exponential form is:

86990 = 2¹ × 5¹ × 8699¹

Step-2: Prime Factorization of 86995

Prime factors of 86995 are 5, 127, 137. Prime factorization of 86995 in exponential form is:

86995 = 5¹ × 127¹ × 137¹

Step-3: Factors of 86990

List of positive integer factors of 86990 that divides 86990 without a remainder.

1, 2, 5, 10, 8699, 17398, 43495

Step-4: Factors of 86995

List of positive integer factors of 86995 that divides 86990 without a remainder.

1, 5, 127, 137, 635, 685, 17399

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86990 and 86995. The biggest common factor number is the GCF number.
So the greatest common factor 86990 and 86995 is 5.

Also check out the Least Common Multiple of 86990 and 86995