What is the Greatest Common Factor of 53844 and 53853?

Greatest common factor (GCF) of 53844 and 53853 is 3.

GCF(53844,53853) = 3

We will now calculate the prime factors of 53844 and 53853, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53844 and 53853.

How to find the GCF of 53844 and 53853?

We will first find the prime factorization of 53844 and 53853. After we will calculate the factors of 53844 and 53853 and find the biggest common factor number .

Step-1: Prime Factorization of 53844

Prime factors of 53844 are 2, 3, 7, 641. Prime factorization of 53844 in exponential form is:

53844 = 2² × 3¹ × 7¹ × 641¹

Step-2: Prime Factorization of 53853

Prime factors of 53853 are 3, 29, 619. Prime factorization of 53853 in exponential form is:

53853 = 3¹ × 29¹ × 619¹

Step-3: Factors of 53844

List of positive integer factors of 53844 that divides 53844 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 641, 1282, 1923, 2564, 3846, 4487, 7692, 8974, 13461, 17948, 26922

Step-4: Factors of 53853

List of positive integer factors of 53853 that divides 53844 without a remainder.

1, 3, 29, 87, 619, 1857, 17951

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53844 and 53853. The biggest common factor number is the GCF number.
So the greatest common factor 53844 and 53853 is 3.

Also check out the Least Common Multiple of 53844 and 53853