What is the Greatest Common Factor of 56032 and 56048?

Greatest common factor (GCF) of 56032 and 56048 is 16.

GCF(56032,56048) = 16

We will now calculate the prime factors of 56032 and 56048, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56032 and 56048.

How to find the GCF of 56032 and 56048?

We will first find the prime factorization of 56032 and 56048. After we will calculate the factors of 56032 and 56048 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 56048

Prime factors of 56048 are 2, 31, 113. Prime factorization of 56048 in exponential form is:

56048 = 2⁴ × 31¹ × 113¹

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 56048

List of positive integer factors of 56048 that divides 56032 without a remainder.

1, 2, 4, 8, 16, 31, 62, 113, 124, 226, 248, 452, 496, 904, 1808, 3503, 7006, 14012, 28024

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56032 and 56048. The biggest common factor number is the GCF number.
So the greatest common factor 56032 and 56048 is 16.

Also check out the Least Common Multiple of 56032 and 56048