What is the Greatest Common Factor of 88893 and 88910?

Greatest common factor (GCF) of 88893 and 88910 is 17.

GCF(88893,88910) = 17

We will now calculate the prime factors of 88893 and 88910, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88893 and 88910.

How to find the GCF of 88893 and 88910?

We will first find the prime factorization of 88893 and 88910. After we will calculate the factors of 88893 and 88910 and find the biggest common factor number .

Step-1: Prime Factorization of 88893

Prime factors of 88893 are 3, 7, 17, 83. Prime factorization of 88893 in exponential form is:

88893 = 3² × 7¹ × 17¹ × 83¹

Step-2: Prime Factorization of 88910

Prime factors of 88910 are 2, 5, 17, 523. Prime factorization of 88910 in exponential form is:

88910 = 2¹ × 5¹ × 17¹ × 523¹

Step-3: Factors of 88893

List of positive integer factors of 88893 that divides 88893 without a remainder.

1, 3, 7, 9, 17, 21, 51, 63, 83, 119, 153, 249, 357, 581, 747, 1071, 1411, 1743, 4233, 5229, 9877, 12699, 29631

Step-4: Factors of 88910

List of positive integer factors of 88910 that divides 88893 without a remainder.

1, 2, 5, 10, 17, 34, 85, 170, 523, 1046, 2615, 5230, 8891, 17782, 44455

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88893 and 88910. The biggest common factor number is the GCF number.
So the greatest common factor 88893 and 88910 is 17.

Also check out the Least Common Multiple of 88893 and 88910