What is the Greatest Common Factor of 75327 and 75334?

Greatest common factor (GCF) of 75327 and 75334 is 7.

GCF(75327,75334) = 7

We will now calculate the prime factors of 75327 and 75334, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75327 and 75334.

How to find the GCF of 75327 and 75334?

We will first find the prime factorization of 75327 and 75334. After we will calculate the factors of 75327 and 75334 and find the biggest common factor number .

Step-1: Prime Factorization of 75327

Prime factors of 75327 are 3, 7, 17, 211. Prime factorization of 75327 in exponential form is:

75327 = 3¹ × 7¹ × 17¹ × 211¹

Step-2: Prime Factorization of 75334

Prime factors of 75334 are 2, 7, 5381. Prime factorization of 75334 in exponential form is:

75334 = 2¹ × 7¹ × 5381¹

Step-3: Factors of 75327

List of positive integer factors of 75327 that divides 75327 without a remainder.

1, 3, 7, 17, 21, 51, 119, 211, 357, 633, 1477, 3587, 4431, 10761, 25109

Step-4: Factors of 75334

List of positive integer factors of 75334 that divides 75327 without a remainder.

1, 2, 7, 14, 5381, 10762, 37667

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75327 and 75334. The biggest common factor number is the GCF number.
So the greatest common factor 75327 and 75334 is 7.

Also check out the Least Common Multiple of 75327 and 75334