What is the Greatest Common Factor of 75270 and 75280?

Greatest common factor (GCF) of 75270 and 75280 is 10.

GCF(75270,75280) = 10

We will now calculate the prime factors of 75270 and 75280, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75270 and 75280.

How to find the GCF of 75270 and 75280?

We will first find the prime factorization of 75270 and 75280. After we will calculate the factors of 75270 and 75280 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 75280

Prime factors of 75280 are 2, 5, 941. Prime factorization of 75280 in exponential form is:

75280 = 2⁴ × 5¹ × 941¹

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 75280

List of positive integer factors of 75280 that divides 75270 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 941, 1882, 3764, 4705, 7528, 9410, 15056, 18820, 37640

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75270 and 75280. The biggest common factor number is the GCF number.
So the greatest common factor 75270 and 75280 is 10.

Also check out the Least Common Multiple of 75270 and 75280