What is the Greatest Common Factor of 56048 and 56059?

Greatest common factor (GCF) of 56048 and 56059 is 1.

GCF(56048,56059) = 1

We will now calculate the prime factors of 56048 and 56059, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56048 and 56059.

How to find the GCF of 56048 and 56059?

We will first find the prime factorization of 56048 and 56059. After we will calculate the factors of 56048 and 56059 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 56059

Prime factors of 56059 are 61, 919. Prime factorization of 56059 in exponential form is:

56059 = 61¹ × 919¹

Step-3: Factors of 56048

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

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

Step-4: Factors of 56059

List of positive integer factors of 56059 that divides 56048 without a remainder.

1, 61, 919

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56048 and 56059. The biggest common factor number is the GCF number.
So the greatest common factor 56048 and 56059 is 1.

Also check out the Least Common Multiple of 56048 and 56059