What is the Greatest Common Factor of 89934 and 89949?

Greatest common factor (GCF) of 89934 and 89949 is 3.

GCF(89934,89949) = 3

We will now calculate the prime factors of 89934 and 89949, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89934 and 89949.

How to find the GCF of 89934 and 89949?

We will first find the prime factorization of 89934 and 89949. After we will calculate the factors of 89934 and 89949 and find the biggest common factor number .

Step-1: Prime Factorization of 89934

Prime factors of 89934 are 2, 3, 13, 1153. Prime factorization of 89934 in exponential form is:

89934 = 2¹ × 3¹ × 13¹ × 1153¹

Step-2: Prime Factorization of 89949

Prime factors of 89949 are 3, 29983. Prime factorization of 89949 in exponential form is:

89949 = 3¹ × 29983¹

Step-3: Factors of 89934

List of positive integer factors of 89934 that divides 89934 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 1153, 2306, 3459, 6918, 14989, 29978, 44967

Step-4: Factors of 89949

List of positive integer factors of 89949 that divides 89934 without a remainder.

1, 3, 29983

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89934 and 89949. The biggest common factor number is the GCF number.
So the greatest common factor 89934 and 89949 is 3.

Also check out the Least Common Multiple of 89934 and 89949