What is the Greatest Common Factor of 75265 and 75284?

Greatest common factor (GCF) of 75265 and 75284 is 1.

GCF(75265,75284) = 1

We will now calculate the prime factors of 75265 and 75284, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75265 and 75284.

How to find the GCF of 75265 and 75284?

We will first find the prime factorization of 75265 and 75284. After we will calculate the factors of 75265 and 75284 and find the biggest common factor number .

Step-1: Prime Factorization of 75265

Prime factors of 75265 are 5, 15053. Prime factorization of 75265 in exponential form is:

75265 = 5¹ × 15053¹

Step-2: Prime Factorization of 75284

Prime factors of 75284 are 2, 11, 29, 59. Prime factorization of 75284 in exponential form is:

75284 = 2² × 11¹ × 29¹ × 59¹

Step-3: Factors of 75265

List of positive integer factors of 75265 that divides 75265 without a remainder.

1, 5, 15053

Step-4: Factors of 75284

List of positive integer factors of 75284 that divides 75265 without a remainder.

1, 2, 4, 11, 22, 29, 44, 58, 59, 116, 118, 236, 319, 638, 649, 1276, 1298, 1711, 2596, 3422, 6844, 18821, 37642

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75265 and 75284. The biggest common factor number is the GCF number.
So the greatest common factor 75265 and 75284 is 1.

Also check out the Least Common Multiple of 75265 and 75284