What is the Greatest Common Factor of 75263 and 75270?

Greatest common factor (GCF) of 75263 and 75270 is 1.

GCF(75263,75270) = 1

We will now calculate the prime factors of 75263 and 75270, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75263 and 75270.

How to find the GCF of 75263 and 75270?

We will first find the prime factorization of 75263 and 75270. After we will calculate the factors of 75263 and 75270 and find the biggest common factor number .

Step-1: Prime Factorization of 75263

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

75263 = 73¹ × 1031¹

Step-2: Prime Factorization of 75270

Prime factors of 75270 are 2, 3, 5, 13, 193. Prime factorization of 75270 in exponential form is:

75270 = 2¹ × 3¹ × 5¹ × 13¹ × 193¹

Step-3: Factors of 75263

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

1, 73, 1031

Step-4: Factors of 75270

List of positive integer factors of 75270 that divides 75263 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 193, 195, 386, 390, 579, 965, 1158, 1930, 2509, 2895, 5018, 5790, 7527, 12545, 15054, 25090, 37635

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75263 and 75270. The biggest common factor number is the GCF number.
So the greatest common factor 75263 and 75270 is 1.

Also check out the Least Common Multiple of 75263 and 75270