What is the Greatest Common Factor of 92752 and 92769?

Greatest common factor (GCF) of 92752 and 92769 is 17.

GCF(92752,92769) = 17

We will now calculate the prime factors of 92752 and 92769, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92752 and 92769.

How to find the GCF of 92752 and 92769?

We will first find the prime factorization of 92752 and 92769. After we will calculate the factors of 92752 and 92769 and find the biggest common factor number .

Step-1: Prime Factorization of 92752

Prime factors of 92752 are 2, 11, 17, 31. Prime factorization of 92752 in exponential form is:

92752 = 2⁴ × 11¹ × 17¹ × 31¹

Step-2: Prime Factorization of 92769

Prime factors of 92769 are 3, 17, 107. Prime factorization of 92769 in exponential form is:

92769 = 3¹ × 17² × 107¹

Step-3: Factors of 92752

List of positive integer factors of 92752 that divides 92752 without a remainder.

1, 2, 4, 8, 11, 16, 17, 22, 31, 34, 44, 62, 68, 88, 124, 136, 176, 187, 248, 272, 341, 374, 496, 527, 682, 748, 1054, 1364, 1496, 2108, 2728, 2992, 4216, 5456, 5797, 8432, 11594, 23188, 46376

Step-4: Factors of 92769

List of positive integer factors of 92769 that divides 92752 without a remainder.

1, 3, 17, 51, 107, 289, 321, 867, 1819, 5457, 30923

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92752 and 92769. The biggest common factor number is the GCF number.
So the greatest common factor 92752 and 92769 is 17.

Also check out the Least Common Multiple of 92752 and 92769