What is the Greatest Common Factor of 87080 and 87085?

Greatest common factor (GCF) of 87080 and 87085 is 5.

GCF(87080,87085) = 5

We will now calculate the prime factors of 87080 and 87085, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87080 and 87085.

How to find the GCF of 87080 and 87085?

We will first find the prime factorization of 87080 and 87085. After we will calculate the factors of 87080 and 87085 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 87085

Prime factors of 87085 are 5, 17417. Prime factorization of 87085 in exponential form is:

87085 = 5¹ × 17417¹

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 87085

List of positive integer factors of 87085 that divides 87080 without a remainder.

1, 5, 17417

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87080 and 87085. The biggest common factor number is the GCF number.
So the greatest common factor 87080 and 87085 is 5.

Also check out the Least Common Multiple of 87080 and 87085