What is the Greatest Common Factor of 56032 and 56049?

Greatest common factor (GCF) of 56032 and 56049 is 17.

GCF(56032,56049) = 17

We will now calculate the prime factors of 56032 and 56049, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56032 and 56049.

How to find the GCF of 56032 and 56049?

We will first find the prime factorization of 56032 and 56049. After we will calculate the factors of 56032 and 56049 and find the biggest common factor number .

Step-1: Prime Factorization of 56032

Prime factors of 56032 are 2, 17, 103. Prime factorization of 56032 in exponential form is:

56032 = 2⁵ × 17¹ × 103¹

Step-2: 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-3: Factors of 56032

List of positive integer factors of 56032 that divides 56032 without a remainder.

1, 2, 4, 8, 16, 17, 32, 34, 68, 103, 136, 206, 272, 412, 544, 824, 1648, 1751, 3296, 3502, 7004, 14008, 28016

Step-4: Factors of 56049

List of positive integer factors of 56049 that divides 56032 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56032 and 56049. The biggest common factor number is the GCF number.
So the greatest common factor 56032 and 56049 is 17.

Also check out the Least Common Multiple of 56032 and 56049