What is the Greatest Common Factor of 58100 and 58107?

Greatest common factor (GCF) of 58100 and 58107 is 7.

GCF(58100,58107) = 7

We will now calculate the prime factors of 58100 and 58107, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58100 and 58107.

How to find the GCF of 58100 and 58107?

We will first find the prime factorization of 58100 and 58107. After we will calculate the factors of 58100 and 58107 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 58107

Prime factors of 58107 are 3, 7, 2767. Prime factorization of 58107 in exponential form is:

58107 = 3¹ × 7¹ × 2767¹

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 58107

List of positive integer factors of 58107 that divides 58100 without a remainder.

1, 3, 7, 21, 2767, 8301, 19369

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58100 and 58107. The biggest common factor number is the GCF number.
So the greatest common factor 58100 and 58107 is 7.

Also check out the Least Common Multiple of 58100 and 58107