What is the Greatest Common Factor of 86415 and 86429?

Greatest common factor (GCF) of 86415 and 86429 is 7.

GCF(86415,86429) = 7

We will now calculate the prime factors of 86415 and 86429, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86415 and 86429.

How to find the GCF of 86415 and 86429?

We will first find the prime factorization of 86415 and 86429. After we will calculate the factors of 86415 and 86429 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 86429

Prime factors of 86429 are 7, 12347. Prime factorization of 86429 in exponential form is:

86429 = 7¹ × 12347¹

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 86429

List of positive integer factors of 86429 that divides 86415 without a remainder.

1, 7, 12347

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86415 and 86429. The biggest common factor number is the GCF number.
So the greatest common factor 86415 and 86429 is 7.

Also check out the Least Common Multiple of 86415 and 86429