What is the Greatest Common Factor of 75270 and 75290?

Greatest common factor (GCF) of 75270 and 75290 is 10.

GCF(75270,75290) = 10

We will now calculate the prime factors of 75270 and 75290, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75270 and 75290.

How to find the GCF of 75270 and 75290?

We will first find the prime factorization of 75270 and 75290. After we will calculate the factors of 75270 and 75290 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 75290

Prime factors of 75290 are 2, 5, 7529. Prime factorization of 75290 in exponential form is:

75290 = 2¹ × 5¹ × 7529¹

Step-3: Factors of 75270

List of positive integer factors of 75270 that divides 75270 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

Step-4: Factors of 75290

List of positive integer factors of 75290 that divides 75270 without a remainder.

1, 2, 5, 10, 7529, 15058, 37645

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75270 and 75290. The biggest common factor number is the GCF number.
So the greatest common factor 75270 and 75290 is 10.

Also check out the Least Common Multiple of 75270 and 75290