What is the Greatest Common Factor of 85752 and 85757?

Greatest common factor (GCF) of 85752 and 85757 is 1.

GCF(85752,85757) = 1

We will now calculate the prime factors of 85752 and 85757, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85752 and 85757.

How to find the GCF of 85752 and 85757?

We will first find the prime factorization of 85752 and 85757. After we will calculate the factors of 85752 and 85757 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 85757

Prime factors of 85757 are 7, 12251. Prime factorization of 85757 in exponential form is:

85757 = 7¹ × 12251¹

Step-3: Factors of 85752

List of positive integer factors of 85752 that divides 85752 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

Step-4: Factors of 85757

List of positive integer factors of 85757 that divides 85752 without a remainder.

1, 7, 12251

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85752 and 85757. The biggest common factor number is the GCF number.
So the greatest common factor 85752 and 85757 is 1.

Also check out the Least Common Multiple of 85752 and 85757