What is the Greatest Common Factor of 85730 and 85735?

Greatest common factor (GCF) of 85730 and 85735 is 5.

GCF(85730,85735) = 5

We will now calculate the prime factors of 85730 and 85735, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85730 and 85735.

How to find the GCF of 85730 and 85735?

We will first find the prime factorization of 85730 and 85735. After we will calculate the factors of 85730 and 85735 and find the biggest common factor number .

Step-1: Prime Factorization of 85730

Prime factors of 85730 are 2, 5, 8573. Prime factorization of 85730 in exponential form is:

85730 = 2¹ × 5¹ × 8573¹

Step-2: Prime Factorization of 85735

Prime factors of 85735 are 5, 13, 1319. Prime factorization of 85735 in exponential form is:

85735 = 5¹ × 13¹ × 1319¹

Step-3: Factors of 85730

List of positive integer factors of 85730 that divides 85730 without a remainder.

1, 2, 5, 10, 8573, 17146, 42865

Step-4: Factors of 85735

List of positive integer factors of 85735 that divides 85730 without a remainder.

1, 5, 13, 65, 1319, 6595, 17147

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85730 and 85735. The biggest common factor number is the GCF number.
So the greatest common factor 85730 and 85735 is 5.

Also check out the Least Common Multiple of 85730 and 85735