What is the Greatest Common Factor of 86380 and 86384?

Greatest common factor (GCF) of 86380 and 86384 is 4.

GCF(86380,86384) = 4

We will now calculate the prime factors of 86380 and 86384, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86380 and 86384.

How to find the GCF of 86380 and 86384?

We will first find the prime factorization of 86380 and 86384. After we will calculate the factors of 86380 and 86384 and find the biggest common factor number .

Step-1: Prime Factorization of 86380

Prime factors of 86380 are 2, 5, 7, 617. Prime factorization of 86380 in exponential form is:

86380 = 2² × 5¹ × 7¹ × 617¹

Step-2: Prime Factorization of 86384

Prime factors of 86384 are 2, 5399. Prime factorization of 86384 in exponential form is:

86384 = 2⁴ × 5399¹

Step-3: Factors of 86380

List of positive integer factors of 86380 that divides 86380 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140, 617, 1234, 2468, 3085, 4319, 6170, 8638, 12340, 17276, 21595, 43190

Step-4: Factors of 86384

List of positive integer factors of 86384 that divides 86380 without a remainder.

1, 2, 4, 8, 16, 5399, 10798, 21596, 43192

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86380 and 86384. The biggest common factor number is the GCF number.
So the greatest common factor 86380 and 86384 is 4.

Also check out the Least Common Multiple of 86380 and 86384