What is the Greatest Common Factor of 85120 and 85125?

Greatest common factor (GCF) of 85120 and 85125 is 5.

GCF(85120,85125) = 5

We will now calculate the prime factors of 85120 and 85125, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85120 and 85125.

How to find the GCF of 85120 and 85125?

We will first find the prime factorization of 85120 and 85125. After we will calculate the factors of 85120 and 85125 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 85125

Prime factors of 85125 are 3, 5, 227. Prime factorization of 85125 in exponential form is:

85125 = 3¹ × 5³ × 227¹

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 85125

List of positive integer factors of 85125 that divides 85120 without a remainder.

1, 3, 5, 15, 25, 75, 125, 227, 375, 681, 1135, 3405, 5675, 17025, 28375

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85120 and 85125. The biggest common factor number is the GCF number.
So the greatest common factor 85120 and 85125 is 5.

Also check out the Least Common Multiple of 85120 and 85125