What is the Greatest Common Factor of 87990 and 88005?

Greatest common factor (GCF) of 87990 and 88005 is 15.

GCF(87990,88005) = 15

We will now calculate the prime factors of 87990 and 88005, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87990 and 88005.

How to find the GCF of 87990 and 88005?

We will first find the prime factorization of 87990 and 88005. After we will calculate the factors of 87990 and 88005 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 88005

Prime factors of 88005 are 3, 5, 5867. Prime factorization of 88005 in exponential form is:

88005 = 3¹ × 5¹ × 5867¹

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 88005

List of positive integer factors of 88005 that divides 87990 without a remainder.

1, 3, 5, 15, 5867, 17601, 29335

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87990 and 88005. The biggest common factor number is the GCF number.
So the greatest common factor 87990 and 88005 is 15.

Also check out the Least Common Multiple of 87990 and 88005