What is the Greatest Common Factor of 85752 and 85766?

Greatest common factor (GCF) of 85752 and 85766 is 2.

GCF(85752,85766) = 2

We will now calculate the prime factors of 85752 and 85766, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85752 and 85766.

How to find the GCF of 85752 and 85766?

We will first find the prime factorization of 85752 and 85766. After we will calculate the factors of 85752 and 85766 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 85766

Prime factors of 85766 are 2, 19, 37, 61. Prime factorization of 85766 in exponential form is:

85766 = 2¹ × 19¹ × 37¹ × 61¹

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 85766

List of positive integer factors of 85766 that divides 85752 without a remainder.

1, 2, 19, 37, 38, 61, 74, 122, 703, 1159, 1406, 2257, 2318, 4514, 42883

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85752 and 85766. The biggest common factor number is the GCF number.
So the greatest common factor 85752 and 85766 is 2.

Also check out the Least Common Multiple of 85752 and 85766