What is the Greatest Common Factor of 75369 and 75383?

Greatest common factor (GCF) of 75369 and 75383 is 7.

GCF(75369,75383) = 7

We will now calculate the prime factors of 75369 and 75383, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75369 and 75383.

How to find the GCF of 75369 and 75383?

We will first find the prime factorization of 75369 and 75383. After we will calculate the factors of 75369 and 75383 and find the biggest common factor number .

Step-1: Prime Factorization of 75369

Prime factors of 75369 are 3, 7, 37, 97. Prime factorization of 75369 in exponential form is:

75369 = 3¹ × 7¹ × 37¹ × 97¹

Step-2: Prime Factorization of 75383

Prime factors of 75383 are 7, 11, 89. Prime factorization of 75383 in exponential form is:

75383 = 7¹ × 11² × 89¹

Step-3: Factors of 75369

List of positive integer factors of 75369 that divides 75369 without a remainder.

1, 3, 7, 21, 37, 97, 111, 259, 291, 679, 777, 2037, 3589, 10767, 25123

Step-4: Factors of 75383

List of positive integer factors of 75383 that divides 75369 without a remainder.

1, 7, 11, 77, 89, 121, 623, 847, 979, 6853, 10769

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75369 and 75383. The biggest common factor number is the GCF number.
So the greatest common factor 75369 and 75383 is 7.

Also check out the Least Common Multiple of 75369 and 75383