What is the Greatest Common Factor of 86856 and 86864?

Greatest common factor (GCF) of 86856 and 86864 is 8.

GCF(86856,86864) = 8

We will now calculate the prime factors of 86856 and 86864, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86856 and 86864.

How to find the GCF of 86856 and 86864?

We will first find the prime factorization of 86856 and 86864. After we will calculate the factors of 86856 and 86864 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 86864

Prime factors of 86864 are 2, 61, 89. Prime factorization of 86864 in exponential form is:

86864 = 2⁴ × 61¹ × 89¹

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 86864

List of positive integer factors of 86864 that divides 86856 without a remainder.

1, 2, 4, 8, 16, 61, 89, 122, 178, 244, 356, 488, 712, 976, 1424, 5429, 10858, 21716, 43432

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86856 and 86864. The biggest common factor number is the GCF number.
So the greatest common factor 86856 and 86864 is 8.

Also check out the Least Common Multiple of 86856 and 86864