What is the Greatest Common Factor of 89748 and 89763?

Greatest common factor (GCF) of 89748 and 89763 is 3.

GCF(89748,89763) = 3

We will now calculate the prime factors of 89748 and 89763, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89748 and 89763.

How to find the GCF of 89748 and 89763?

We will first find the prime factorization of 89748 and 89763. After we will calculate the factors of 89748 and 89763 and find the biggest common factor number .

Step-1: Prime Factorization of 89748

Prime factors of 89748 are 2, 3, 277. Prime factorization of 89748 in exponential form is:

89748 = 2² × 3⁴ × 277¹

Step-2: Prime Factorization of 89763

Prime factors of 89763 are 3, 29921. Prime factorization of 89763 in exponential form is:

89763 = 3¹ × 29921¹

Step-3: Factors of 89748

List of positive integer factors of 89748 that divides 89748 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 277, 324, 554, 831, 1108, 1662, 2493, 3324, 4986, 7479, 9972, 14958, 22437, 29916, 44874

Step-4: Factors of 89763

List of positive integer factors of 89763 that divides 89748 without a remainder.

1, 3, 29921

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89748 and 89763. The biggest common factor number is the GCF number.
So the greatest common factor 89748 and 89763 is 3.

Also check out the Least Common Multiple of 89748 and 89763