What is the Greatest Common Factor of 75258 and 75263?

Greatest common factor (GCF) of 75258 and 75263 is 1.

GCF(75258,75263) = 1

We will now calculate the prime factors of 75258 and 75263, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75258 and 75263.

How to find the GCF of 75258 and 75263?

We will first find the prime factorization of 75258 and 75263. After we will calculate the factors of 75258 and 75263 and find the biggest common factor number .

Step-1: Prime Factorization of 75258

Prime factors of 75258 are 2, 3, 37, 113. Prime factorization of 75258 in exponential form is:

75258 = 2¹ × 3² × 37¹ × 113¹

Step-2: Prime Factorization of 75263

Prime factors of 75263 are 73, 1031. Prime factorization of 75263 in exponential form is:

75263 = 73¹ × 1031¹

Step-3: Factors of 75258

List of positive integer factors of 75258 that divides 75258 without a remainder.

1, 2, 3, 6, 9, 18, 37, 74, 111, 113, 222, 226, 333, 339, 666, 678, 1017, 2034, 4181, 8362, 12543, 25086, 37629

Step-4: Factors of 75263

List of positive integer factors of 75263 that divides 75258 without a remainder.

1, 73, 1031

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75258 and 75263. The biggest common factor number is the GCF number.
So the greatest common factor 75258 and 75263 is 1.

Also check out the Least Common Multiple of 75258 and 75263