What is the Greatest Common Factor of 86070 and 86089?

Greatest common factor (GCF) of 86070 and 86089 is 19.

GCF(86070,86089) = 19

We will now calculate the prime factors of 86070 and 86089, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86070 and 86089.

How to find the GCF of 86070 and 86089?

We will first find the prime factorization of 86070 and 86089. After we will calculate the factors of 86070 and 86089 and find the biggest common factor number .

Step-1: Prime Factorization of 86070

Prime factors of 86070 are 2, 3, 5, 19, 151. Prime factorization of 86070 in exponential form is:

86070 = 2¹ × 3¹ × 5¹ × 19¹ × 151¹

Step-2: Prime Factorization of 86089

Prime factors of 86089 are 19, 23, 197. Prime factorization of 86089 in exponential form is:

86089 = 19¹ × 23¹ × 197¹

Step-3: Factors of 86070

List of positive integer factors of 86070 that divides 86070 without a remainder.

1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 151, 190, 285, 302, 453, 570, 755, 906, 1510, 2265, 2869, 4530, 5738, 8607, 14345, 17214, 28690, 43035

Step-4: Factors of 86089

List of positive integer factors of 86089 that divides 86070 without a remainder.

1, 19, 23, 197, 437, 3743, 4531

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86070 and 86089. The biggest common factor number is the GCF number.
So the greatest common factor 86070 and 86089 is 19.

Also check out the Least Common Multiple of 86070 and 86089