What is the Greatest Common Factor of 87080 and 87095?

Greatest common factor (GCF) of 87080 and 87095 is 5.

GCF(87080,87095) = 5

We will now calculate the prime factors of 87080 and 87095, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87080 and 87095.

How to find the GCF of 87080 and 87095?

We will first find the prime factorization of 87080 and 87095. After we will calculate the factors of 87080 and 87095 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 87095

Prime factors of 87095 are 5, 17419. Prime factorization of 87095 in exponential form is:

87095 = 5¹ × 17419¹

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 87095

List of positive integer factors of 87095 that divides 87080 without a remainder.

1, 5, 17419

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87080 and 87095. The biggest common factor number is the GCF number.
So the greatest common factor 87080 and 87095 is 5.

Also check out the Least Common Multiple of 87080 and 87095