What is the Greatest Common Factor of 59125 and 59131?

Greatest common factor (GCF) of 59125 and 59131 is 1.

GCF(59125,59131) = 1

We will now calculate the prime factors of 59125 and 59131, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59125 and 59131.

How to find the GCF of 59125 and 59131?

We will first find the prime factorization of 59125 and 59131. After we will calculate the factors of 59125 and 59131 and find the biggest common factor number .

Step-1: Prime Factorization of 59125

Prime factors of 59125 are 5, 11, 43. Prime factorization of 59125 in exponential form is:

59125 = 5³ × 11¹ × 43¹

Step-2: Prime Factorization of 59131

Prime factors of 59131 are 29, 2039. Prime factorization of 59131 in exponential form is:

59131 = 29¹ × 2039¹

Step-3: Factors of 59125

List of positive integer factors of 59125 that divides 59125 without a remainder.

1, 5, 11, 25, 43, 55, 125, 215, 275, 473, 1075, 1375, 2365, 5375, 11825

Step-4: Factors of 59131

List of positive integer factors of 59131 that divides 59125 without a remainder.

1, 29, 2039

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59125 and 59131. The biggest common factor number is the GCF number.
So the greatest common factor 59125 and 59131 is 1.

Also check out the Least Common Multiple of 59125 and 59131