What is the Greatest Common Factor of 53844 and 53858?

Greatest common factor (GCF) of 53844 and 53858 is 14.

GCF(53844,53858) = 14

We will now calculate the prime factors of 53844 and 53858, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53844 and 53858.

How to find the GCF of 53844 and 53858?

We will first find the prime factorization of 53844 and 53858. After we will calculate the factors of 53844 and 53858 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 53858

Prime factors of 53858 are 2, 7, 3847. Prime factorization of 53858 in exponential form is:

53858 = 2¹ × 7¹ × 3847¹

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 53858

List of positive integer factors of 53858 that divides 53844 without a remainder.

1, 2, 7, 14, 3847, 7694, 26929

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53844 and 53858. The biggest common factor number is the GCF number.
So the greatest common factor 53844 and 53858 is 14.

Also check out the Least Common Multiple of 53844 and 53858