What is the Greatest Common Factor of 58096 and 58100?

Greatest common factor (GCF) of 58096 and 58100 is 4.

GCF(58096,58100) = 4

We will now calculate the prime factors of 58096 and 58100, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58096 and 58100.

How to find the GCF of 58096 and 58100?

We will first find the prime factorization of 58096 and 58100. After we will calculate the factors of 58096 and 58100 and find the biggest common factor number .

Step-1: Prime Factorization of 58096

Prime factors of 58096 are 2, 3631. Prime factorization of 58096 in exponential form is:

58096 = 2⁴ × 3631¹

Step-2: Prime Factorization of 58100

Prime factors of 58100 are 2, 5, 7, 83. Prime factorization of 58100 in exponential form is:

58100 = 2² × 5² × 7¹ × 83¹

Step-3: Factors of 58096

List of positive integer factors of 58096 that divides 58096 without a remainder.

1, 2, 4, 8, 16, 3631, 7262, 14524, 29048

Step-4: Factors of 58100

List of positive integer factors of 58100 that divides 58096 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 83, 100, 140, 166, 175, 332, 350, 415, 581, 700, 830, 1162, 1660, 2075, 2324, 2905, 4150, 5810, 8300, 11620, 14525, 29050

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58096 and 58100. The biggest common factor number is the GCF number.
So the greatest common factor 58096 and 58100 is 4.

Also check out the Least Common Multiple of 58096 and 58100