What is the Greatest Common Factor of 85735 and 85752?

Greatest common factor (GCF) of 85735 and 85752 is 1.

GCF(85735,85752) = 1

We will now calculate the prime factors of 85735 and 85752, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85735 and 85752.

How to find the GCF of 85735 and 85752?

We will first find the prime factorization of 85735 and 85752. After we will calculate the factors of 85735 and 85752 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 85752

Prime factors of 85752 are 2, 3, 397. Prime factorization of 85752 in exponential form is:

85752 = 2³ × 3³ × 397¹

Step-3: Factors of 85735

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

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

Step-4: Factors of 85752

List of positive integer factors of 85752 that divides 85735 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216, 397, 794, 1191, 1588, 2382, 3176, 3573, 4764, 7146, 9528, 10719, 14292, 21438, 28584, 42876

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85735 and 85752. The biggest common factor number is the GCF number.
So the greatest common factor 85735 and 85752 is 1.

Also check out the Least Common Multiple of 85735 and 85752