What is the Greatest Common Factor of 85001 and 85008?

Greatest common factor (GCF) of 85001 and 85008 is 7.

GCF(85001,85008) = 7

We will now calculate the prime factors of 85001 and 85008, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85001 and 85008.

How to find the GCF of 85001 and 85008?

We will first find the prime factorization of 85001 and 85008. After we will calculate the factors of 85001 and 85008 and find the biggest common factor number .

Step-1: Prime Factorization of 85001

Prime factors of 85001 are 7, 12143. Prime factorization of 85001 in exponential form is:

85001 = 7¹ × 12143¹

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 85001

List of positive integer factors of 85001 that divides 85001 without a remainder.

1, 7, 12143

Step-4: Factors of 85008

List of positive integer factors of 85008 that divides 85001 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 85001 and 85008. The biggest common factor number is the GCF number.
So the greatest common factor 85001 and 85008 is 7.

Also check out the Least Common Multiple of 85001 and 85008