What is the Greatest Common Factor of 87080 and 87086?

Greatest common factor (GCF) of 87080 and 87086 is 2.

GCF(87080,87086) = 2

We will now calculate the prime factors of 87080 and 87086, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87080 and 87086.

How to find the GCF of 87080 and 87086?

We will first find the prime factorization of 87080 and 87086. After we will calculate the factors of 87080 and 87086 and find the biggest common factor number .

Step-1: Prime Factorization of 87080

Prime factors of 87080 are 2, 5, 7, 311. Prime factorization of 87080 in exponential form is:

87080 = 2³ × 5¹ × 7¹ × 311¹

Step-2: Prime Factorization of 87086

Prime factors of 87086 are 2, 43543. Prime factorization of 87086 in exponential form is:

87086 = 2¹ × 43543¹

Step-3: Factors of 87080

List of positive integer factors of 87080 that divides 87080 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280, 311, 622, 1244, 1555, 2177, 2488, 3110, 4354, 6220, 8708, 10885, 12440, 17416, 21770, 43540

Step-4: Factors of 87086

List of positive integer factors of 87086 that divides 87080 without a remainder.

1, 2, 43543

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87080 and 87086. The biggest common factor number is the GCF number.
So the greatest common factor 87080 and 87086 is 2.

Also check out the Least Common Multiple of 87080 and 87086