What is the Greatest Common Factor of 86414 and 86420?

Greatest common factor (GCF) of 86414 and 86420 is 2.

GCF(86414,86420) = 2

We will now calculate the prime factors of 86414 and 86420, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86414 and 86420.

How to find the GCF of 86414 and 86420?

We will first find the prime factorization of 86414 and 86420. After we will calculate the factors of 86414 and 86420 and find the biggest common factor number .

Step-1: Prime Factorization of 86414

Prime factors of 86414 are 2, 43207. Prime factorization of 86414 in exponential form is:

86414 = 2¹ × 43207¹

Step-2: Prime Factorization of 86420

Prime factors of 86420 are 2, 5, 29, 149. Prime factorization of 86420 in exponential form is:

86420 = 2² × 5¹ × 29¹ × 149¹

Step-3: Factors of 86414

List of positive integer factors of 86414 that divides 86414 without a remainder.

1, 2, 43207

Step-4: Factors of 86420

List of positive integer factors of 86420 that divides 86414 without a remainder.

1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 149, 290, 298, 580, 596, 745, 1490, 2980, 4321, 8642, 17284, 21605, 43210

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86414 and 86420. The biggest common factor number is the GCF number.
So the greatest common factor 86414 and 86420 is 2.

Also check out the Least Common Multiple of 86414 and 86420