What is the Greatest Common Factor of 87815 and 87835?

Greatest common factor (GCF) of 87815 and 87835 is 5.

GCF(87815,87835) = 5

We will now calculate the prime factors of 87815 and 87835, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87815 and 87835.

How to find the GCF of 87815 and 87835?

We will first find the prime factorization of 87815 and 87835. After we will calculate the factors of 87815 and 87835 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 87835

Prime factors of 87835 are 5, 11, 1597. Prime factorization of 87835 in exponential form is:

87835 = 5¹ × 11¹ × 1597¹

Step-3: Factors of 87815

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

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

Step-4: Factors of 87835

List of positive integer factors of 87835 that divides 87815 without a remainder.

1, 5, 11, 55, 1597, 7985, 17567

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87815 and 87835. The biggest common factor number is the GCF number.
So the greatest common factor 87815 and 87835 is 5.

Also check out the Least Common Multiple of 87815 and 87835