What is the Greatest Common Factor of 58090 and 58100?

Greatest common factor (GCF) of 58090 and 58100 is 10.

GCF(58090,58100) = 10

We will now calculate the prime factors of 58090 and 58100, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58090 and 58100.

How to find the GCF of 58090 and 58100?

We will first find the prime factorization of 58090 and 58100. After we will calculate the factors of 58090 and 58100 and find the biggest common factor number .

Step-1: Prime Factorization of 58090

Prime factors of 58090 are 2, 5, 37, 157. Prime factorization of 58090 in exponential form is:

58090 = 2¹ × 5¹ × 37¹ × 157¹

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 58090

List of positive integer factors of 58090 that divides 58090 without a remainder.

1, 2, 5, 10, 37, 74, 157, 185, 314, 370, 785, 1570, 5809, 11618, 29045

Step-4: Factors of 58100

List of positive integer factors of 58100 that divides 58090 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 58090 and 58100. The biggest common factor number is the GCF number.
So the greatest common factor 58090 and 58100 is 10.

Also check out the Least Common Multiple of 58090 and 58100