What is the Greatest Common Factor of 86842 and 86856?

Greatest common factor (GCF) of 86842 and 86856 is 14.

GCF(86842,86856) = 14

We will now calculate the prime factors of 86842 and 86856, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86842 and 86856.

How to find the GCF of 86842 and 86856?

We will first find the prime factorization of 86842 and 86856. After we will calculate the factors of 86842 and 86856 and find the biggest common factor number .

Step-1: Prime Factorization of 86842

Prime factors of 86842 are 2, 7, 6203. Prime factorization of 86842 in exponential form is:

86842 = 2¹ × 7¹ × 6203¹

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 86842

List of positive integer factors of 86842 that divides 86842 without a remainder.

1, 2, 7, 14, 6203, 12406, 43421

Step-4: Factors of 86856

List of positive integer factors of 86856 that divides 86842 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 86842 and 86856. The biggest common factor number is the GCF number.
So the greatest common factor 86842 and 86856 is 14.

Also check out the Least Common Multiple of 86842 and 86856