What is the Greatest Common Factor of 86713 and 86724?

Greatest common factor (GCF) of 86713 and 86724 is 11.

GCF(86713,86724) = 11

We will now calculate the prime factors of 86713 and 86724, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86713 and 86724.

How to find the GCF of 86713 and 86724?

We will first find the prime factorization of 86713 and 86724. After we will calculate the factors of 86713 and 86724 and find the biggest common factor number .

Step-1: Prime Factorization of 86713

Prime factors of 86713 are 11, 7883. Prime factorization of 86713 in exponential form is:

86713 = 11¹ × 7883¹

Step-2: Prime Factorization of 86724

Prime factors of 86724 are 2, 3, 11, 73. Prime factorization of 86724 in exponential form is:

86724 = 2² × 3³ × 11¹ × 73¹

Step-3: Factors of 86713

List of positive integer factors of 86713 that divides 86713 without a remainder.

1, 11, 7883

Step-4: Factors of 86724

List of positive integer factors of 86724 that divides 86713 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 27, 33, 36, 44, 54, 66, 73, 99, 108, 132, 146, 198, 219, 292, 297, 396, 438, 594, 657, 803, 876, 1188, 1314, 1606, 1971, 2409, 2628, 3212, 3942, 4818, 7227, 7884, 9636, 14454, 21681, 28908, 43362

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86713 and 86724. The biggest common factor number is the GCF number.
So the greatest common factor 86713 and 86724 is 11.

Also check out the Least Common Multiple of 86713 and 86724