What is the Greatest Common Factor of 45384 and 45394?

Greatest common factor (GCF) of 45384 and 45394 is 2.

GCF(45384,45394) = 2

We will now calculate the prime factors of 45384 and 45394, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45384 and 45394.

How to find the GCF of 45384 and 45394?

We will first find the prime factorization of 45384 and 45394. After we will calculate the factors of 45384 and 45394 and find the biggest common factor number .

Step-1: Prime Factorization of 45384

Prime factors of 45384 are 2, 3, 31, 61. Prime factorization of 45384 in exponential form is:

45384 = 2³ × 3¹ × 31¹ × 61¹

Step-2: Prime Factorization of 45394

Prime factors of 45394 are 2, 22697. Prime factorization of 45394 in exponential form is:

45394 = 2¹ × 22697¹

Step-3: Factors of 45384

List of positive integer factors of 45384 that divides 45384 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 31, 61, 62, 93, 122, 124, 183, 186, 244, 248, 366, 372, 488, 732, 744, 1464, 1891, 3782, 5673, 7564, 11346, 15128, 22692

Step-4: Factors of 45394

List of positive integer factors of 45394 that divides 45384 without a remainder.

1, 2, 22697

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45384 and 45394. The biggest common factor number is the GCF number.
So the greatest common factor 45384 and 45394 is 2.

Also check out the Least Common Multiple of 45384 and 45394