What is the Greatest Common Factor of 92735 and 92752?

Greatest common factor (GCF) of 92735 and 92752 is 17.

GCF(92735,92752) = 17

We will now calculate the prime factors of 92735 and 92752, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92735 and 92752.

How to find the GCF of 92735 and 92752?

We will first find the prime factorization of 92735 and 92752. After we will calculate the factors of 92735 and 92752 and find the biggest common factor number .

Step-1: Prime Factorization of 92735

Prime factors of 92735 are 5, 17, 1091. Prime factorization of 92735 in exponential form is:

92735 = 5¹ × 17¹ × 1091¹

Step-2: 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-3: Factors of 92735

List of positive integer factors of 92735 that divides 92735 without a remainder.

1, 5, 17, 85, 1091, 5455, 18547

Step-4: Factors of 92752

List of positive integer factors of 92752 that divides 92735 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92735 and 92752. The biggest common factor number is the GCF number.
So the greatest common factor 92735 and 92752 is 17.

Also check out the Least Common Multiple of 92735 and 92752