What is the Greatest Common Factor of 86736 and 86749?

Greatest common factor (GCF) of 86736 and 86749 is 13.

GCF(86736,86749) = 13

We will now calculate the prime factors of 86736 and 86749, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86736 and 86749.

How to find the GCF of 86736 and 86749?

We will first find the prime factorization of 86736 and 86749. After we will calculate the factors of 86736 and 86749 and find the biggest common factor number .

Step-1: Prime Factorization of 86736

Prime factors of 86736 are 2, 3, 13, 139. Prime factorization of 86736 in exponential form is:

86736 = 2⁴ × 3¹ × 13¹ × 139¹

Step-2: Prime Factorization of 86749

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

86749 = 13¹ × 6673¹

Step-3: Factors of 86736

List of positive integer factors of 86736 that divides 86736 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 139, 156, 208, 278, 312, 417, 556, 624, 834, 1112, 1668, 1807, 2224, 3336, 3614, 5421, 6672, 7228, 10842, 14456, 21684, 28912, 43368

Step-4: Factors of 86749

List of positive integer factors of 86749 that divides 86736 without a remainder.

1, 13, 6673

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86736 and 86749. The biggest common factor number is the GCF number.
So the greatest common factor 86736 and 86749 is 13.

Also check out the Least Common Multiple of 86736 and 86749