What is the Greatest Common Factor of 85825 and 85840?

Greatest common factor (GCF) of 85825 and 85840 is 5.

GCF(85825,85840) = 5

We will now calculate the prime factors of 85825 and 85840, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85825 and 85840.

How to find the GCF of 85825 and 85840?

We will first find the prime factorization of 85825 and 85840. After we will calculate the factors of 85825 and 85840 and find the biggest common factor number .

Step-1: Prime Factorization of 85825

Prime factors of 85825 are 5, 3433. Prime factorization of 85825 in exponential form is:

85825 = 5² × 3433¹

Step-2: Prime Factorization of 85840

Prime factors of 85840 are 2, 5, 29, 37. Prime factorization of 85840 in exponential form is:

85840 = 2⁴ × 5¹ × 29¹ × 37¹

Step-3: Factors of 85825

List of positive integer factors of 85825 that divides 85825 without a remainder.

1, 5, 25, 3433, 17165

Step-4: Factors of 85840

List of positive integer factors of 85840 that divides 85825 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 29, 37, 40, 58, 74, 80, 116, 145, 148, 185, 232, 290, 296, 370, 464, 580, 592, 740, 1073, 1160, 1480, 2146, 2320, 2960, 4292, 5365, 8584, 10730, 17168, 21460, 42920

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85825 and 85840. The biggest common factor number is the GCF number.
So the greatest common factor 85825 and 85840 is 5.

Also check out the Least Common Multiple of 85825 and 85840