What is the Greatest Common Factor of 55746 and 55765?

Greatest common factor (GCF) of 55746 and 55765 is 19.

GCF(55746,55765) = 19

We will now calculate the prime factors of 55746 and 55765, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55746 and 55765.

How to find the GCF of 55746 and 55765?

We will first find the prime factorization of 55746 and 55765. After we will calculate the factors of 55746 and 55765 and find the biggest common factor number .

Step-1: Prime Factorization of 55746

Prime factors of 55746 are 2, 3, 19, 163. Prime factorization of 55746 in exponential form is:

55746 = 2¹ × 3² × 19¹ × 163¹

Step-2: Prime Factorization of 55765

Prime factors of 55765 are 5, 19, 587. Prime factorization of 55765 in exponential form is:

55765 = 5¹ × 19¹ × 587¹

Step-3: Factors of 55746

List of positive integer factors of 55746 that divides 55746 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 163, 171, 326, 342, 489, 978, 1467, 2934, 3097, 6194, 9291, 18582, 27873

Step-4: Factors of 55765

List of positive integer factors of 55765 that divides 55746 without a remainder.

1, 5, 19, 95, 587, 2935, 11153

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55746 and 55765. The biggest common factor number is the GCF number.
So the greatest common factor 55746 and 55765 is 19.

Also check out the Least Common Multiple of 55746 and 55765