What is the Greatest Common Factor of 56049 and 56055?

Greatest common factor (GCF) of 56049 and 56055 is 3.

GCF(56049,56055) = 3

We will now calculate the prime factors of 56049 and 56055, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56049 and 56055.

How to find the GCF of 56049 and 56055?

We will first find the prime factorization of 56049 and 56055. After we will calculate the factors of 56049 and 56055 and find the biggest common factor number .

Step-1: Prime Factorization of 56049

Prime factors of 56049 are 3, 7, 17, 157. Prime factorization of 56049 in exponential form is:

56049 = 3¹ × 7¹ × 17¹ × 157¹

Step-2: Prime Factorization of 56055

Prime factors of 56055 are 3, 5, 37, 101. Prime factorization of 56055 in exponential form is:

56055 = 3¹ × 5¹ × 37¹ × 101¹

Step-3: Factors of 56049

List of positive integer factors of 56049 that divides 56049 without a remainder.

1, 3, 7, 17, 21, 51, 119, 157, 357, 471, 1099, 2669, 3297, 8007, 18683

Step-4: Factors of 56055

List of positive integer factors of 56055 that divides 56049 without a remainder.

1, 3, 5, 15, 37, 101, 111, 185, 303, 505, 555, 1515, 3737, 11211, 18685

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56049 and 56055. The biggest common factor number is the GCF number.
So the greatest common factor 56049 and 56055 is 3.

Also check out the Least Common Multiple of 56049 and 56055