What is the Greatest Common Factor of 59080 and 59096?

Greatest common factor (GCF) of 59080 and 59096 is 8.

GCF(59080,59096) = 8

We will now calculate the prime factors of 59080 and 59096, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59080 and 59096.

How to find the GCF of 59080 and 59096?

We will first find the prime factorization of 59080 and 59096. After we will calculate the factors of 59080 and 59096 and find the biggest common factor number .

Step-1: Prime Factorization of 59080

Prime factors of 59080 are 2, 5, 7, 211. Prime factorization of 59080 in exponential form is:

59080 = 2³ × 5¹ × 7¹ × 211¹

Step-2: Prime Factorization of 59096

Prime factors of 59096 are 2, 83, 89. Prime factorization of 59096 in exponential form is:

59096 = 2³ × 83¹ × 89¹

Step-3: Factors of 59080

List of positive integer factors of 59080 that divides 59080 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 211, 280, 422, 844, 1055, 1477, 1688, 2110, 2954, 4220, 5908, 7385, 8440, 11816, 14770, 29540

Step-4: Factors of 59096

List of positive integer factors of 59096 that divides 59080 without a remainder.

1, 2, 4, 8, 83, 89, 166, 178, 332, 356, 664, 712, 7387, 14774, 29548

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59080 and 59096. The biggest common factor number is the GCF number.
So the greatest common factor 59080 and 59096 is 8.

Also check out the Least Common Multiple of 59080 and 59096