What is the Greatest Common Factor of 55839 and 55853?

Greatest common factor (GCF) of 55839 and 55853 is 7.

GCF(55839,55853) = 7

We will now calculate the prime factors of 55839 and 55853, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55839 and 55853.

How to find the GCF of 55839 and 55853?

We will first find the prime factorization of 55839 and 55853. After we will calculate the factors of 55839 and 55853 and find the biggest common factor number .

Step-1: Prime Factorization of 55839

Prime factors of 55839 are 3, 7, 2659. Prime factorization of 55839 in exponential form is:

55839 = 3¹ × 7¹ × 2659¹

Step-2: Prime Factorization of 55853

Prime factors of 55853 are 7, 79, 101. Prime factorization of 55853 in exponential form is:

55853 = 7¹ × 79¹ × 101¹

Step-3: Factors of 55839

List of positive integer factors of 55839 that divides 55839 without a remainder.

1, 3, 7, 21, 2659, 7977, 18613

Step-4: Factors of 55853

List of positive integer factors of 55853 that divides 55839 without a remainder.

1, 7, 79, 101, 553, 707, 7979

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55839 and 55853. The biggest common factor number is the GCF number.
So the greatest common factor 55839 and 55853 is 7.

Also check out the Least Common Multiple of 55839 and 55853