What is the Greatest Common Factor of 59084 and 59096?

Greatest common factor (GCF) of 59084 and 59096 is 4.

GCF(59084,59096) = 4

We will now calculate the prime factors of 59084 and 59096, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59084 and 59096.

How to find the GCF of 59084 and 59096?

We will first find the prime factorization of 59084 and 59096. After we will calculate the factors of 59084 and 59096 and find the biggest common factor number .

Step-1: Prime Factorization of 59084

Prime factors of 59084 are 2, 14771. Prime factorization of 59084 in exponential form is:

59084 = 2² × 14771¹

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 59084

List of positive integer factors of 59084 that divides 59084 without a remainder.

1, 2, 4, 14771, 29542

Step-4: Factors of 59096

List of positive integer factors of 59096 that divides 59084 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 59084 and 59096. The biggest common factor number is the GCF number.
So the greatest common factor 59084 and 59096 is 4.

Also check out the Least Common Multiple of 59084 and 59096