What is the Greatest Common Factor of 75261 and 75278?

Greatest common factor (GCF) of 75261 and 75278 is 1.

GCF(75261,75278) = 1

We will now calculate the prime factors of 75261 and 75278, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75261 and 75278.

How to find the GCF of 75261 and 75278?

We will first find the prime factorization of 75261 and 75278. After we will calculate the factors of 75261 and 75278 and find the biggest common factor number .

Step-1: Prime Factorization of 75261

Prime factors of 75261 are 3, 25087. Prime factorization of 75261 in exponential form is:

75261 = 3¹ × 25087¹

Step-2: Prime Factorization of 75278

Prime factors of 75278 are 2, 7, 19, 283. Prime factorization of 75278 in exponential form is:

75278 = 2¹ × 7¹ × 19¹ × 283¹

Step-3: Factors of 75261

List of positive integer factors of 75261 that divides 75261 without a remainder.

1, 3, 25087

Step-4: Factors of 75278

List of positive integer factors of 75278 that divides 75261 without a remainder.

1, 2, 7, 14, 19, 38, 133, 266, 283, 566, 1981, 3962, 5377, 10754, 37639

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75261 and 75278. The biggest common factor number is the GCF number.
So the greatest common factor 75261 and 75278 is 1.

Also check out the Least Common Multiple of 75261 and 75278