What is the Greatest Common Factor of 85008 and 85012?

Greatest common factor (GCF) of 85008 and 85012 is 4.

GCF(85008,85012) = 4

We will now calculate the prime factors of 85008 and 85012, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85008 and 85012.

How to find the GCF of 85008 and 85012?

We will first find the prime factorization of 85008 and 85012. After we will calculate the factors of 85008 and 85012 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 85012

Prime factors of 85012 are 2, 53, 401. Prime factorization of 85012 in exponential form is:

85012 = 2² × 53¹ × 401¹

Step-3: Factors of 85008

List of positive integer factors of 85008 that divides 85008 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

Step-4: Factors of 85012

List of positive integer factors of 85012 that divides 85008 without a remainder.

1, 2, 4, 53, 106, 212, 401, 802, 1604, 21253, 42506

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85008 and 85012. The biggest common factor number is the GCF number.
So the greatest common factor 85008 and 85012 is 4.

Also check out the Least Common Multiple of 85008 and 85012