What is the Greatest Common Factor of 85749 and 85765?

Greatest common factor (GCF) of 85749 and 85765 is 1.

GCF(85749,85765) = 1

We will now calculate the prime factors of 85749 and 85765, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85749 and 85765.

How to find the GCF of 85749 and 85765?

We will first find the prime factorization of 85749 and 85765. After we will calculate the factors of 85749 and 85765 and find the biggest common factor number .

Step-1: Prime Factorization of 85749

Prime factors of 85749 are 3, 101, 283. Prime factorization of 85749 in exponential form is:

85749 = 3¹ × 101¹ × 283¹

Step-2: Prime Factorization of 85765

Prime factors of 85765 are 5, 17, 1009. Prime factorization of 85765 in exponential form is:

85765 = 5¹ × 17¹ × 1009¹

Step-3: Factors of 85749

List of positive integer factors of 85749 that divides 85749 without a remainder.

1, 3, 101, 283, 303, 849, 28583

Step-4: Factors of 85765

List of positive integer factors of 85765 that divides 85749 without a remainder.

1, 5, 17, 85, 1009, 5045, 17153

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85749 and 85765. The biggest common factor number is the GCF number.
So the greatest common factor 85749 and 85765 is 1.

Also check out the Least Common Multiple of 85749 and 85765