What is the Greatest Common Factor of 86838 and 86856?

Greatest common factor (GCF) of 86838 and 86856 is 6.

GCF(86838,86856) = 6

We will now calculate the prime factors of 86838 and 86856, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86838 and 86856.

How to find the GCF of 86838 and 86856?

We will first find the prime factorization of 86838 and 86856. After we will calculate the factors of 86838 and 86856 and find the biggest common factor number .

Step-1: Prime Factorization of 86838

Prime factors of 86838 are 2, 3, 41, 353. Prime factorization of 86838 in exponential form is:

86838 = 2¹ × 3¹ × 41¹ × 353¹

Step-2: Prime Factorization of 86856

Prime factors of 86856 are 2, 3, 7, 11, 47. Prime factorization of 86856 in exponential form is:

86856 = 2³ × 3¹ × 7¹ × 11¹ × 47¹

Step-3: Factors of 86838

List of positive integer factors of 86838 that divides 86838 without a remainder.

1, 2, 3, 6, 41, 82, 123, 246, 353, 706, 1059, 2118, 14473, 28946, 43419

Step-4: Factors of 86856

List of positive integer factors of 86856 that divides 86838 without a remainder.

1, 2, 3, 4, 6, 7, 8, 11, 12, 14, 21, 22, 24, 28, 33, 42, 44, 47, 56, 66, 77, 84, 88, 94, 132, 141, 154, 168, 188, 231, 264, 282, 308, 329, 376, 462, 517, 564, 616, 658, 924, 987, 1034, 1128, 1316, 1551, 1848, 1974, 2068, 2632, 3102, 3619, 3948, 4136, 6204, 7238, 7896, 10857, 12408, 14476, 21714, 28952, 43428

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86838 and 86856. The biggest common factor number is the GCF number.
So the greatest common factor 86838 and 86856 is 6.

Also check out the Least Common Multiple of 86838 and 86856