What is the Greatest Common Factor of 84994 and 85008?

Greatest common factor (GCF) of 84994 and 85008 is 14.

GCF(84994,85008) = 14

We will now calculate the prime factors of 84994 and 85008, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84994 and 85008.

How to find the GCF of 84994 and 85008?

We will first find the prime factorization of 84994 and 85008. After we will calculate the factors of 84994 and 85008 and find the biggest common factor number .

Step-1: Prime Factorization of 84994

Prime factors of 84994 are 2, 7, 13, 467. Prime factorization of 84994 in exponential form is:

84994 = 2¹ × 7¹ × 13¹ × 467¹

Step-2: Prime Factorization of 85008

Prime factors of 85008 are 2, 3, 7, 11, 23. Prime factorization of 85008 in exponential form is:

85008 = 2⁴ × 3¹ × 7¹ × 11¹ × 23¹

Step-3: Factors of 84994

List of positive integer factors of 84994 that divides 84994 without a remainder.

1, 2, 7, 13, 14, 26, 91, 182, 467, 934, 3269, 6071, 6538, 12142, 42497

Step-4: Factors of 85008

List of positive integer factors of 85008 that divides 84994 without a remainder.

1, 2, 3, 4, 6, 7, 8, 11, 12, 14, 16, 21, 22, 23, 24, 28, 33, 42, 44, 46, 48, 56, 66, 69, 77, 84, 88, 92, 112, 132, 138, 154, 161, 168, 176, 184, 231, 253, 264, 276, 308, 322, 336, 368, 462, 483, 506, 528, 552, 616, 644, 759, 924, 966, 1012, 1104, 1232, 1288, 1518, 1771, 1848, 1932, 2024, 2576, 3036, 3542, 3696, 3864, 4048, 5313, 6072, 7084, 7728, 10626, 12144, 14168, 21252, 28336, 42504

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84994 and 85008. The biggest common factor number is the GCF number.
So the greatest common factor 84994 and 85008 is 14.

Also check out the Least Common Multiple of 84994 and 85008