What is the Greatest Common Factor of 87030 and 87045?

Greatest common factor (GCF) of 87030 and 87045 is 15.

GCF(87030,87045) = 15

We will now calculate the prime factors of 87030 and 87045, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87030 and 87045.

How to find the GCF of 87030 and 87045?

We will first find the prime factorization of 87030 and 87045. After we will calculate the factors of 87030 and 87045 and find the biggest common factor number .

Step-1: Prime Factorization of 87030

Prime factors of 87030 are 2, 3, 5, 967. Prime factorization of 87030 in exponential form is:

87030 = 2¹ × 3² × 5¹ × 967¹

Step-2: Prime Factorization of 87045

Prime factors of 87045 are 3, 5, 7, 829. Prime factorization of 87045 in exponential form is:

87045 = 3¹ × 5¹ × 7¹ × 829¹

Step-3: Factors of 87030

List of positive integer factors of 87030 that divides 87030 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 967, 1934, 2901, 4835, 5802, 8703, 9670, 14505, 17406, 29010, 43515

Step-4: Factors of 87045

List of positive integer factors of 87045 that divides 87030 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105, 829, 2487, 4145, 5803, 12435, 17409, 29015

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87030 and 87045. The biggest common factor number is the GCF number.
So the greatest common factor 87030 and 87045 is 15.

Also check out the Least Common Multiple of 87030 and 87045