What is the Greatest Common Factor of 86540 and 86552?

Greatest common factor (GCF) of 86540 and 86552 is 4.

GCF(86540,86552) = 4

We will now calculate the prime factors of 86540 and 86552, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86540 and 86552.

How to find the GCF of 86540 and 86552?

We will first find the prime factorization of 86540 and 86552. After we will calculate the factors of 86540 and 86552 and find the biggest common factor number .

Step-1: Prime Factorization of 86540

Prime factors of 86540 are 2, 5, 4327. Prime factorization of 86540 in exponential form is:

86540 = 2² × 5¹ × 4327¹

Step-2: Prime Factorization of 86552

Prime factors of 86552 are 2, 31, 349. Prime factorization of 86552 in exponential form is:

86552 = 2³ × 31¹ × 349¹

Step-3: Factors of 86540

List of positive integer factors of 86540 that divides 86540 without a remainder.

1, 2, 4, 5, 10, 20, 4327, 8654, 17308, 21635, 43270

Step-4: Factors of 86552

List of positive integer factors of 86552 that divides 86540 without a remainder.

1, 2, 4, 8, 31, 62, 124, 248, 349, 698, 1396, 2792, 10819, 21638, 43276

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86540 and 86552. The biggest common factor number is the GCF number.
So the greatest common factor 86540 and 86552 is 4.

Also check out the Least Common Multiple of 86540 and 86552