What is the Greatest Common Factor of 86420 and 86436?

Greatest common factor (GCF) of 86420 and 86436 is 4.

GCF(86420,86436) = 4

We will now calculate the prime factors of 86420 and 86436, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86420 and 86436.

How to find the GCF of 86420 and 86436?

We will first find the prime factorization of 86420 and 86436. After we will calculate the factors of 86420 and 86436 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 86436

Prime factors of 86436 are 2, 3, 7. Prime factorization of 86436 in exponential form is:

86436 = 2² × 3² × 7⁴

Step-3: Factors of 86420

List of positive integer factors of 86420 that divides 86420 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

Step-4: Factors of 86436

List of positive integer factors of 86436 that divides 86420 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 49, 63, 84, 98, 126, 147, 196, 252, 294, 343, 441, 588, 686, 882, 1029, 1372, 1764, 2058, 2401, 3087, 4116, 4802, 6174, 7203, 9604, 12348, 14406, 21609, 28812, 43218

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86420 and 86436. The biggest common factor number is the GCF number.
So the greatest common factor 86420 and 86436 is 4.

Also check out the Least Common Multiple of 86420 and 86436