What is the Greatest Common Factor of 53942 and 53949?

Greatest common factor (GCF) of 53942 and 53949 is 7.

GCF(53942,53949) = 7

We will now calculate the prime factors of 53942 and 53949, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53942 and 53949.

How to find the GCF of 53942 and 53949?

We will first find the prime factorization of 53942 and 53949. After we will calculate the factors of 53942 and 53949 and find the biggest common factor number .

Step-1: Prime Factorization of 53942

Prime factors of 53942 are 2, 7, 3853. Prime factorization of 53942 in exponential form is:

53942 = 2¹ × 7¹ × 3853¹

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 53942

List of positive integer factors of 53942 that divides 53942 without a remainder.

1, 2, 7, 14, 3853, 7706, 26971

Step-4: Factors of 53949

List of positive integer factors of 53949 that divides 53942 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 53942 and 53949. The biggest common factor number is the GCF number.
So the greatest common factor 53942 and 53949 is 7.

Also check out the Least Common Multiple of 53942 and 53949