What is the Greatest Common Factor of 73374 and 73383?

Greatest common factor (GCF) of 73374 and 73383 is 3.

GCF(73374,73383) = 3

We will now calculate the prime factors of 73374 and 73383, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73374 and 73383.

How to find the GCF of 73374 and 73383?

We will first find the prime factorization of 73374 and 73383. After we will calculate the factors of 73374 and 73383 and find the biggest common factor number .

Step-1: Prime Factorization of 73374

Prime factors of 73374 are 2, 3, 7, 1747. Prime factorization of 73374 in exponential form is:

73374 = 2¹ × 3¹ × 7¹ × 1747¹

Step-2: Prime Factorization of 73383

Prime factors of 73383 are 3, 61, 401. Prime factorization of 73383 in exponential form is:

73383 = 3¹ × 61¹ × 401¹

Step-3: Factors of 73374

List of positive integer factors of 73374 that divides 73374 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 1747, 3494, 5241, 10482, 12229, 24458, 36687

Step-4: Factors of 73383

List of positive integer factors of 73383 that divides 73374 without a remainder.

1, 3, 61, 183, 401, 1203, 24461

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73374 and 73383. The biggest common factor number is the GCF number.
So the greatest common factor 73374 and 73383 is 3.

Also check out the Least Common Multiple of 73374 and 73383