What is the Greatest Common Factor of 87810 and 87815?

Greatest common factor (GCF) of 87810 and 87815 is 5.

GCF(87810,87815) = 5

We will now calculate the prime factors of 87810 and 87815, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87810 and 87815.

How to find the GCF of 87810 and 87815?

We will first find the prime factorization of 87810 and 87815. After we will calculate the factors of 87810 and 87815 and find the biggest common factor number .

Step-1: Prime Factorization of 87810

Prime factors of 87810 are 2, 3, 5, 2927. Prime factorization of 87810 in exponential form is:

87810 = 2¹ × 3¹ × 5¹ × 2927¹

Step-2: Prime Factorization of 87815

Prime factors of 87815 are 5, 7, 13, 193. Prime factorization of 87815 in exponential form is:

87815 = 5¹ × 7¹ × 13¹ × 193¹

Step-3: Factors of 87810

List of positive integer factors of 87810 that divides 87810 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 2927, 5854, 8781, 14635, 17562, 29270, 43905

Step-4: Factors of 87815

List of positive integer factors of 87815 that divides 87810 without a remainder.

1, 5, 7, 13, 35, 65, 91, 193, 455, 965, 1351, 2509, 6755, 12545, 17563

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87810 and 87815. The biggest common factor number is the GCF number.
So the greatest common factor 87810 and 87815 is 5.

Also check out the Least Common Multiple of 87810 and 87815