What is the Greatest Common Factor of 86415 and 86426?

Greatest common factor (GCF) of 86415 and 86426 is 1.

GCF(86415,86426) = 1

We will now calculate the prime factors of 86415 and 86426, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86415 and 86426.

How to find the GCF of 86415 and 86426?

We will first find the prime factorization of 86415 and 86426. After we will calculate the factors of 86415 and 86426 and find the biggest common factor number .

Step-1: Prime Factorization of 86415

Prime factors of 86415 are 3, 5, 7, 823. Prime factorization of 86415 in exponential form is:

86415 = 3¹ × 5¹ × 7¹ × 823¹

Step-2: Prime Factorization of 86426

Prime factors of 86426 are 2, 79, 547. Prime factorization of 86426 in exponential form is:

86426 = 2¹ × 79¹ × 547¹

Step-3: Factors of 86415

List of positive integer factors of 86415 that divides 86415 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105, 823, 2469, 4115, 5761, 12345, 17283, 28805

Step-4: Factors of 86426

List of positive integer factors of 86426 that divides 86415 without a remainder.

1, 2, 79, 158, 547, 1094, 43213

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86415 and 86426. The biggest common factor number is the GCF number.
So the greatest common factor 86415 and 86426 is 1.

Also check out the Least Common Multiple of 86415 and 86426