What is the Greatest Common Factor of 89673 and 89688?

Greatest common factor (GCF) of 89673 and 89688 is 3.

GCF(89673,89688) = 3

We will now calculate the prime factors of 89673 and 89688, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89673 and 89688.

How to find the GCF of 89673 and 89688?

We will first find the prime factorization of 89673 and 89688. After we will calculate the factors of 89673 and 89688 and find the biggest common factor number .

Step-1: Prime Factorization of 89673

Prime factors of 89673 are 3, 71, 421. Prime factorization of 89673 in exponential form is:

89673 = 3¹ × 71¹ × 421¹

Step-2: Prime Factorization of 89688

Prime factors of 89688 are 2, 3, 37, 101. Prime factorization of 89688 in exponential form is:

89688 = 2³ × 3¹ × 37¹ × 101¹

Step-3: Factors of 89673

List of positive integer factors of 89673 that divides 89673 without a remainder.

1, 3, 71, 213, 421, 1263, 29891

Step-4: Factors of 89688

List of positive integer factors of 89688 that divides 89673 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 101, 111, 148, 202, 222, 296, 303, 404, 444, 606, 808, 888, 1212, 2424, 3737, 7474, 11211, 14948, 22422, 29896, 44844

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89673 and 89688. The biggest common factor number is the GCF number.
So the greatest common factor 89673 and 89688 is 3.

Also check out the Least Common Multiple of 89673 and 89688