What is the Greatest Common Factor of 86420 and 86435?

Greatest common factor (GCF) of 86420 and 86435 is 5.

GCF(86420,86435) = 5

We will now calculate the prime factors of 86420 and 86435, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86420 and 86435.

How to find the GCF of 86420 and 86435?

We will first find the prime factorization of 86420 and 86435. After we will calculate the factors of 86420 and 86435 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 86435

Prime factors of 86435 are 5, 59, 293. Prime factorization of 86435 in exponential form is:

86435 = 5¹ × 59¹ × 293¹

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 86435

List of positive integer factors of 86435 that divides 86420 without a remainder.

1, 5, 59, 293, 295, 1465, 17287

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86420 and 86435. The biggest common factor number is the GCF number.
So the greatest common factor 86420 and 86435 is 5.

Also check out the Least Common Multiple of 86420 and 86435