What is the Greatest Common Factor of 86900 and 86909?

Greatest common factor (GCF) of 86900 and 86909 is 1.

GCF(86900,86909) = 1

We will now calculate the prime factors of 86900 and 86909, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86900 and 86909.

How to find the GCF of 86900 and 86909?

We will first find the prime factorization of 86900 and 86909. After we will calculate the factors of 86900 and 86909 and find the biggest common factor number .

Step-1: Prime Factorization of 86900

Prime factors of 86900 are 2, 5, 11, 79. Prime factorization of 86900 in exponential form is:

86900 = 2² × 5² × 11¹ × 79¹

Step-2: Prime Factorization of 86909

Prime factors of 86909 are 233, 373. Prime factorization of 86909 in exponential form is:

86909 = 233¹ × 373¹

Step-3: Factors of 86900

List of positive integer factors of 86900 that divides 86900 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 25, 44, 50, 55, 79, 100, 110, 158, 220, 275, 316, 395, 550, 790, 869, 1100, 1580, 1738, 1975, 3476, 3950, 4345, 7900, 8690, 17380, 21725, 43450

Step-4: Factors of 86909

List of positive integer factors of 86909 that divides 86900 without a remainder.

1, 233, 373

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86900 and 86909. The biggest common factor number is the GCF number.
So the greatest common factor 86900 and 86909 is 1.

Also check out the Least Common Multiple of 86900 and 86909