What is the Greatest Common Factor of 75260 and 75270?

Greatest common factor (GCF) of 75260 and 75270 is 10.

GCF(75260,75270) = 10

We will now calculate the prime factors of 75260 and 75270, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75260 and 75270.

How to find the GCF of 75260 and 75270?

We will first find the prime factorization of 75260 and 75270. After we will calculate the factors of 75260 and 75270 and find the biggest common factor number .

Step-1: Prime Factorization of 75260

Prime factors of 75260 are 2, 5, 53, 71. Prime factorization of 75260 in exponential form is:

75260 = 2² × 5¹ × 53¹ × 71¹

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 75260

List of positive integer factors of 75260 that divides 75260 without a remainder.

1, 2, 4, 5, 10, 20, 53, 71, 106, 142, 212, 265, 284, 355, 530, 710, 1060, 1420, 3763, 7526, 15052, 18815, 37630

Step-4: Factors of 75270

List of positive integer factors of 75270 that divides 75260 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 75260 and 75270. The biggest common factor number is the GCF number.
So the greatest common factor 75260 and 75270 is 10.

Also check out the Least Common Multiple of 75260 and 75270