What is the Greatest Common Factor of 59008 and 59028?

Greatest common factor (GCF) of 59008 and 59028 is 4.

GCF(59008,59028) = 4

We will now calculate the prime factors of 59008 and 59028, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59008 and 59028.

How to find the GCF of 59008 and 59028?

We will first find the prime factorization of 59008 and 59028. After we will calculate the factors of 59008 and 59028 and find the biggest common factor number .

Step-1: Prime Factorization of 59008

Prime factors of 59008 are 2, 461. Prime factorization of 59008 in exponential form is:

59008 = 2⁷ × 461¹

Step-2: Prime Factorization of 59028

Prime factors of 59028 are 2, 3, 4919. Prime factorization of 59028 in exponential form is:

59028 = 2² × 3¹ × 4919¹

Step-3: Factors of 59008

List of positive integer factors of 59008 that divides 59008 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 461, 922, 1844, 3688, 7376, 14752, 29504

Step-4: Factors of 59028

List of positive integer factors of 59028 that divides 59008 without a remainder.

1, 2, 3, 4, 6, 12, 4919, 9838, 14757, 19676, 29514

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59008 and 59028. The biggest common factor number is the GCF number.
So the greatest common factor 59008 and 59028 is 4.

Also check out the Least Common Multiple of 59008 and 59028