What is the Greatest Common Factor of 86905 and 86918?

Greatest common factor (GCF) of 86905 and 86918 is 13.

GCF(86905,86918) = 13

We will now calculate the prime factors of 86905 and 86918, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86905 and 86918.

How to find the GCF of 86905 and 86918?

We will first find the prime factorization of 86905 and 86918. After we will calculate the factors of 86905 and 86918 and find the biggest common factor number .

Step-1: Prime Factorization of 86905

Prime factors of 86905 are 5, 7, 13, 191. Prime factorization of 86905 in exponential form is:

86905 = 5¹ × 7¹ × 13¹ × 191¹

Step-2: Prime Factorization of 86918

Prime factors of 86918 are 2, 13, 3343. Prime factorization of 86918 in exponential form is:

86918 = 2¹ × 13¹ × 3343¹

Step-3: Factors of 86905

List of positive integer factors of 86905 that divides 86905 without a remainder.

1, 5, 7, 13, 35, 65, 91, 191, 455, 955, 1337, 2483, 6685, 12415, 17381

Step-4: Factors of 86918

List of positive integer factors of 86918 that divides 86905 without a remainder.

1, 2, 13, 26, 3343, 6686, 43459

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86905 and 86918. The biggest common factor number is the GCF number.
So the greatest common factor 86905 and 86918 is 13.

Also check out the Least Common Multiple of 86905 and 86918