What is the Greatest Common Factor of 53125 and 53142?

Greatest common factor (GCF) of 53125 and 53142 is 17.

GCF(53125,53142) = 17

We will now calculate the prime factors of 53125 and 53142, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53125 and 53142.

How to find the GCF of 53125 and 53142?

We will first find the prime factorization of 53125 and 53142. After we will calculate the factors of 53125 and 53142 and find the biggest common factor number .

Step-1: Prime Factorization of 53125

Prime factors of 53125 are 5, 17. Prime factorization of 53125 in exponential form is:

53125 = 5⁵ × 17¹

Step-2: Prime Factorization of 53142

Prime factors of 53142 are 2, 3, 17, 521. Prime factorization of 53142 in exponential form is:

53142 = 2¹ × 3¹ × 17¹ × 521¹

Step-3: Factors of 53125

List of positive integer factors of 53125 that divides 53125 without a remainder.

1, 5, 17, 25, 85, 125, 425, 625, 2125, 3125, 10625

Step-4: Factors of 53142

List of positive integer factors of 53142 that divides 53125 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102, 521, 1042, 1563, 3126, 8857, 17714, 26571

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53125 and 53142. The biggest common factor number is the GCF number.
So the greatest common factor 53125 and 53142 is 17.

Also check out the Least Common Multiple of 53125 and 53142