What is the Greatest Common Factor of 86724 and 86738?

Greatest common factor (GCF) of 86724 and 86738 is 2.

GCF(86724,86738) = 2

We will now calculate the prime factors of 86724 and 86738, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86724 and 86738.

How to find the GCF of 86724 and 86738?

We will first find the prime factorization of 86724 and 86738. After we will calculate the factors of 86724 and 86738 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 86738

Prime factors of 86738 are 2, 31, 1399. Prime factorization of 86738 in exponential form is:

86738 = 2¹ × 31¹ × 1399¹

Step-3: Factors of 86724

List of positive integer factors of 86724 that divides 86724 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

Step-4: Factors of 86738

List of positive integer factors of 86738 that divides 86724 without a remainder.

1, 2, 31, 62, 1399, 2798, 43369

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86724 and 86738. The biggest common factor number is the GCF number.
So the greatest common factor 86724 and 86738 is 2.

Also check out the Least Common Multiple of 86724 and 86738