What is the Greatest Common Factor of 58100 and 58110?

Greatest common factor (GCF) of 58100 and 58110 is 10.

GCF(58100,58110) = 10

We will now calculate the prime factors of 58100 and 58110, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58100 and 58110.

How to find the GCF of 58100 and 58110?

We will first find the prime factorization of 58100 and 58110. After we will calculate the factors of 58100 and 58110 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 58110

Prime factors of 58110 are 2, 3, 5, 13, 149. Prime factorization of 58110 in exponential form is:

58110 = 2¹ × 3¹ × 5¹ × 13¹ × 149¹

Step-3: Factors of 58100

List of positive integer factors of 58100 that divides 58100 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

Step-4: Factors of 58110

List of positive integer factors of 58110 that divides 58100 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 149, 195, 298, 390, 447, 745, 894, 1490, 1937, 2235, 3874, 4470, 5811, 9685, 11622, 19370, 29055

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58100 and 58110. The biggest common factor number is the GCF number.
So the greatest common factor 58100 and 58110 is 10.

Also check out the Least Common Multiple of 58100 and 58110