What is the Greatest Common Factor of 86749 and 86764?

Greatest common factor (GCF) of 86749 and 86764 is 1.

GCF(86749,86764) = 1

We will now calculate the prime factors of 86749 and 86764, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86749 and 86764.

How to find the GCF of 86749 and 86764?

We will first find the prime factorization of 86749 and 86764. After we will calculate the factors of 86749 and 86764 and find the biggest common factor number .

Step-1: Prime Factorization of 86749

Prime factors of 86749 are 13, 6673. Prime factorization of 86749 in exponential form is:

86749 = 13¹ × 6673¹

Step-2: Prime Factorization of 86764

Prime factors of 86764 are 2, 109, 199. Prime factorization of 86764 in exponential form is:

86764 = 2² × 109¹ × 199¹

Step-3: Factors of 86749

List of positive integer factors of 86749 that divides 86749 without a remainder.

1, 13, 6673

Step-4: Factors of 86764

List of positive integer factors of 86764 that divides 86749 without a remainder.

1, 2, 4, 109, 199, 218, 398, 436, 796, 21691, 43382

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86749 and 86764. The biggest common factor number is the GCF number.
So the greatest common factor 86749 and 86764 is 1.

Also check out the Least Common Multiple of 86749 and 86764