What is the Greatest Common Factor of 86856 and 86874?

Greatest common factor (GCF) of 86856 and 86874 is 6.

GCF(86856,86874) = 6

We will now calculate the prime factors of 86856 and 86874, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86856 and 86874.

How to find the GCF of 86856 and 86874?

We will first find the prime factorization of 86856 and 86874. After we will calculate the factors of 86856 and 86874 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 86874

Prime factors of 86874 are 2, 3, 14479. Prime factorization of 86874 in exponential form is:

86874 = 2¹ × 3¹ × 14479¹

Step-3: Factors of 86856

List of positive integer factors of 86856 that divides 86856 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

Step-4: Factors of 86874

List of positive integer factors of 86874 that divides 86856 without a remainder.

1, 2, 3, 6, 14479, 28958, 43437

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86856 and 86874. The biggest common factor number is the GCF number.
So the greatest common factor 86856 and 86874 is 6.

Also check out the Least Common Multiple of 86856 and 86874