What is the Greatest Common Factor of 85008 and 85019?

Greatest common factor (GCF) of 85008 and 85019 is 11.

GCF(85008,85019) = 11

We will now calculate the prime factors of 85008 and 85019, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85008 and 85019.

How to find the GCF of 85008 and 85019?

We will first find the prime factorization of 85008 and 85019. After we will calculate the factors of 85008 and 85019 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 85019

Prime factors of 85019 are 11, 59, 131. Prime factorization of 85019 in exponential form is:

85019 = 11¹ × 59¹ × 131¹

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 85019

List of positive integer factors of 85019 that divides 85008 without a remainder.

1, 11, 59, 131, 649, 1441, 7729

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85008 and 85019. The biggest common factor number is the GCF number.
So the greatest common factor 85008 and 85019 is 11.

Also check out the Least Common Multiple of 85008 and 85019