What is the Greatest Common Factor of 56014 and 56032?

Greatest common factor (GCF) of 56014 and 56032 is 2.

GCF(56014,56032) = 2

We will now calculate the prime factors of 56014 and 56032, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56014 and 56032.

How to find the GCF of 56014 and 56032?

We will first find the prime factorization of 56014 and 56032. After we will calculate the factors of 56014 and 56032 and find the biggest common factor number .

Step-1: Prime Factorization of 56014

Prime factors of 56014 are 2, 7, 4001. Prime factorization of 56014 in exponential form is:

56014 = 2¹ × 7¹ × 4001¹

Step-2: 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-3: Factors of 56014

List of positive integer factors of 56014 that divides 56014 without a remainder.

1, 2, 7, 14, 4001, 8002, 28007

Step-4: Factors of 56032

List of positive integer factors of 56032 that divides 56014 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56014 and 56032. The biggest common factor number is the GCF number.
So the greatest common factor 56014 and 56032 is 2.

Also check out the Least Common Multiple of 56014 and 56032