What is the Greatest Common Factor of 53949 and 53958?

Greatest common factor (GCF) of 53949 and 53958 is 3.

GCF(53949,53958) = 3

We will now calculate the prime factors of 53949 and 53958, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53949 and 53958.

How to find the GCF of 53949 and 53958?

We will first find the prime factorization of 53949 and 53958. After we will calculate the factors of 53949 and 53958 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 53958

Prime factors of 53958 are 2, 3, 17, 23. Prime factorization of 53958 in exponential form is:

53958 = 2¹ × 3¹ × 17¹ × 23²

Step-3: Factors of 53949

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

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

Step-4: Factors of 53958

List of positive integer factors of 53958 that divides 53949 without a remainder.

1, 2, 3, 6, 17, 23, 34, 46, 51, 69, 102, 138, 391, 529, 782, 1058, 1173, 1587, 2346, 3174, 8993, 17986, 26979

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53949 and 53958. The biggest common factor number is the GCF number.
So the greatest common factor 53949 and 53958 is 3.

Also check out the Least Common Multiple of 53949 and 53958