What is the Greatest Common Factor of 85104 and 85120?

Greatest common factor (GCF) of 85104 and 85120 is 16.

GCF(85104,85120) = 16

We will now calculate the prime factors of 85104 and 85120, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85104 and 85120.

How to find the GCF of 85104 and 85120?

We will first find the prime factorization of 85104 and 85120. After we will calculate the factors of 85104 and 85120 and find the biggest common factor number .

Step-1: Prime Factorization of 85104

Prime factors of 85104 are 2, 3, 197. Prime factorization of 85104 in exponential form is:

85104 = 2⁴ × 3³ × 197¹

Step-2: 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-3: Factors of 85104

List of positive integer factors of 85104 that divides 85104 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 197, 216, 394, 432, 591, 788, 1182, 1576, 1773, 2364, 3152, 3546, 4728, 5319, 7092, 9456, 10638, 14184, 21276, 28368, 42552

Step-4: Factors of 85120

List of positive integer factors of 85120 that divides 85104 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85104 and 85120. The biggest common factor number is the GCF number.
So the greatest common factor 85104 and 85120 is 16.

Also check out the Least Common Multiple of 85104 and 85120