What is the Greatest Common Factor of 87990 and 87995?

Greatest common factor (GCF) of 87990 and 87995 is 5.

GCF(87990,87995) = 5

We will now calculate the prime factors of 87990 and 87995, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87990 and 87995.

How to find the GCF of 87990 and 87995?

We will first find the prime factorization of 87990 and 87995. After we will calculate the factors of 87990 and 87995 and find the biggest common factor number .

Step-1: Prime Factorization of 87990

Prime factors of 87990 are 2, 3, 5, 7, 419. Prime factorization of 87990 in exponential form is:

87990 = 2¹ × 3¹ × 5¹ × 7¹ × 419¹

Step-2: Prime Factorization of 87995

Prime factors of 87995 are 5, 17599. Prime factorization of 87995 in exponential form is:

87995 = 5¹ × 17599¹

Step-3: Factors of 87990

List of positive integer factors of 87990 that divides 87990 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210, 419, 838, 1257, 2095, 2514, 2933, 4190, 5866, 6285, 8799, 12570, 14665, 17598, 29330, 43995

Step-4: Factors of 87995

List of positive integer factors of 87995 that divides 87990 without a remainder.

1, 5, 17599

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87990 and 87995. The biggest common factor number is the GCF number.
So the greatest common factor 87990 and 87995 is 5.

Also check out the Least Common Multiple of 87990 and 87995