What is the Greatest Common Factor of 88935 and 88946?

Greatest common factor (GCF) of 88935 and 88946 is 11.

GCF(88935,88946) = 11

We will now calculate the prime factors of 88935 and 88946, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88935 and 88946.

How to find the GCF of 88935 and 88946?

We will first find the prime factorization of 88935 and 88946. After we will calculate the factors of 88935 and 88946 and find the biggest common factor number .

Step-1: Prime Factorization of 88935

Prime factors of 88935 are 3, 5, 7, 11. Prime factorization of 88935 in exponential form is:

88935 = 3¹ × 5¹ × 7² × 11²

Step-2: Prime Factorization of 88946

Prime factors of 88946 are 2, 11, 13, 311. Prime factorization of 88946 in exponential form is:

88946 = 2¹ × 11¹ × 13¹ × 311¹

Step-3: Factors of 88935

List of positive integer factors of 88935 that divides 88935 without a remainder.

1, 3, 5, 7, 11, 15, 21, 33, 35, 49, 55, 77, 105, 121, 147, 165, 231, 245, 363, 385, 539, 605, 735, 847, 1155, 1617, 1815, 2541, 2695, 4235, 5929, 8085, 12705, 17787, 29645

Step-4: Factors of 88946

List of positive integer factors of 88946 that divides 88935 without a remainder.

1, 2, 11, 13, 22, 26, 143, 286, 311, 622, 3421, 4043, 6842, 8086, 44473

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88935 and 88946. The biggest common factor number is the GCF number.
So the greatest common factor 88935 and 88946 is 11.

Also check out the Least Common Multiple of 88935 and 88946