What is the Greatest Common Factor of 86706 and 86724?

Greatest common factor (GCF) of 86706 and 86724 is 18.

GCF(86706,86724) = 18

We will now calculate the prime factors of 86706 and 86724, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86706 and 86724.

How to find the GCF of 86706 and 86724?

We will first find the prime factorization of 86706 and 86724. After we will calculate the factors of 86706 and 86724 and find the biggest common factor number .

Step-1: Prime Factorization of 86706

Prime factors of 86706 are 2, 3, 4817. Prime factorization of 86706 in exponential form is:

86706 = 2¹ × 3² × 4817¹

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 86706

List of positive integer factors of 86706 that divides 86706 without a remainder.

1, 2, 3, 6, 9, 18, 4817, 9634, 14451, 28902, 43353

Step-4: Factors of 86724

List of positive integer factors of 86724 that divides 86706 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 86706 and 86724. The biggest common factor number is the GCF number.
So the greatest common factor 86706 and 86724 is 18.

Also check out the Least Common Multiple of 86706 and 86724