What is the Greatest Common Factor of 85120 and 85136?

Greatest common factor (GCF) of 85120 and 85136 is 16.

GCF(85120,85136) = 16

We will now calculate the prime factors of 85120 and 85136, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85120 and 85136.

How to find the GCF of 85120 and 85136?

We will first find the prime factorization of 85120 and 85136. After we will calculate the factors of 85120 and 85136 and find the biggest common factor number .

Step-1: Prime Factorization of 85120

Prime factors of 85120 are 2, 5, 7, 19. Prime factorization of 85120 in exponential form is:

85120 = 2⁷ × 5¹ × 7¹ × 19¹

Step-2: Prime Factorization of 85136

Prime factors of 85136 are 2, 17, 313. Prime factorization of 85136 in exponential form is:

85136 = 2⁴ × 17¹ × 313¹

Step-3: Factors of 85120

List of positive integer factors of 85120 that divides 85120 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 19, 20, 28, 32, 35, 38, 40, 56, 64, 70, 76, 80, 95, 112, 128, 133, 140, 152, 160, 190, 224, 266, 280, 304, 320, 380, 448, 532, 560, 608, 640, 665, 760, 896, 1064, 1120, 1216, 1330, 1520, 2128, 2240, 2432, 2660, 3040, 4256, 4480, 5320, 6080, 8512, 10640, 12160, 17024, 21280, 42560

Step-4: Factors of 85136

List of positive integer factors of 85136 that divides 85120 without a remainder.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272, 313, 626, 1252, 2504, 5008, 5321, 10642, 21284, 42568

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85120 and 85136. The biggest common factor number is the GCF number.
So the greatest common factor 85120 and 85136 is 16.

Also check out the Least Common Multiple of 85120 and 85136