What is the Greatest Common Factor of 53250 and 53258?

Greatest common factor (GCF) of 53250 and 53258 is 2.

GCF(53250,53258) = 2

We will now calculate the prime factors of 53250 and 53258, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53250 and 53258.

How to find the GCF of 53250 and 53258?

We will first find the prime factorization of 53250 and 53258. After we will calculate the factors of 53250 and 53258 and find the biggest common factor number .

Step-1: Prime Factorization of 53250

Prime factors of 53250 are 2, 3, 5, 71. Prime factorization of 53250 in exponential form is:

53250 = 2¹ × 3¹ × 5³ × 71¹

Step-2: Prime Factorization of 53258

Prime factors of 53258 are 2, 31, 859. Prime factorization of 53258 in exponential form is:

53258 = 2¹ × 31¹ × 859¹

Step-3: Factors of 53250

List of positive integer factors of 53250 that divides 53250 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 71, 75, 125, 142, 150, 213, 250, 355, 375, 426, 710, 750, 1065, 1775, 2130, 3550, 5325, 8875, 10650, 17750, 26625

Step-4: Factors of 53258

List of positive integer factors of 53258 that divides 53250 without a remainder.

1, 2, 31, 62, 859, 1718, 26629

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53250 and 53258. The biggest common factor number is the GCF number.
So the greatest common factor 53250 and 53258 is 2.

Also check out the Least Common Multiple of 53250 and 53258