What is the Greatest Common Factor of 59844 and 59848?

Greatest common factor (GCF) of 59844 and 59848 is 4.

GCF(59844,59848) = 4

We will now calculate the prime factors of 59844 and 59848, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59844 and 59848.

How to find the GCF of 59844 and 59848?

We will first find the prime factorization of 59844 and 59848. After we will calculate the factors of 59844 and 59848 and find the biggest common factor number .

Step-1: Prime Factorization of 59844

Prime factors of 59844 are 2, 3, 4987. Prime factorization of 59844 in exponential form is:

59844 = 2² × 3¹ × 4987¹

Step-2: Prime Factorization of 59848

Prime factors of 59848 are 2, 7481. Prime factorization of 59848 in exponential form is:

59848 = 2³ × 7481¹

Step-3: Factors of 59844

List of positive integer factors of 59844 that divides 59844 without a remainder.

1, 2, 3, 4, 6, 12, 4987, 9974, 14961, 19948, 29922

Step-4: Factors of 59848

List of positive integer factors of 59848 that divides 59844 without a remainder.

1, 2, 4, 8, 7481, 14962, 29924

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59844 and 59848. The biggest common factor number is the GCF number.
So the greatest common factor 59844 and 59848 is 4.

Also check out the Least Common Multiple of 59844 and 59848