What is the Greatest Common Factor of 53934 and 53949?

Greatest common factor (GCF) of 53934 and 53949 is 3.

GCF(53934,53949) = 3

We will now calculate the prime factors of 53934 and 53949, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53934 and 53949.

How to find the GCF of 53934 and 53949?

We will first find the prime factorization of 53934 and 53949. After we will calculate the factors of 53934 and 53949 and find the biggest common factor number .

Step-1: Prime Factorization of 53934

Prime factors of 53934 are 2, 3, 89, 101. Prime factorization of 53934 in exponential form is:

53934 = 2¹ × 3¹ × 89¹ × 101¹

Step-2: Prime Factorization of 53949

Prime factors of 53949 are 3, 7, 367. Prime factorization of 53949 in exponential form is:

53949 = 3¹ × 7² × 367¹

Step-3: Factors of 53934

List of positive integer factors of 53934 that divides 53934 without a remainder.

1, 2, 3, 6, 89, 101, 178, 202, 267, 303, 534, 606, 8989, 17978, 26967

Step-4: Factors of 53949

List of positive integer factors of 53949 that divides 53934 without a remainder.

1, 3, 7, 21, 49, 147, 367, 1101, 2569, 7707, 17983

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53934 and 53949. The biggest common factor number is the GCF number.
So the greatest common factor 53934 and 53949 is 3.

Also check out the Least Common Multiple of 53934 and 53949