What is the Greatest Common Factor of 45384 and 45396?

Greatest common factor (GCF) of 45384 and 45396 is 12.

GCF(45384,45396) = 12

We will now calculate the prime factors of 45384 and 45396, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45384 and 45396.

How to find the GCF of 45384 and 45396?

We will first find the prime factorization of 45384 and 45396. After we will calculate the factors of 45384 and 45396 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 45396

Prime factors of 45396 are 2, 3, 13, 97. Prime factorization of 45396 in exponential form is:

45396 = 2² × 3² × 13¹ × 97¹

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 45396

List of positive integer factors of 45396 that divides 45384 without a remainder.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 97, 117, 156, 194, 234, 291, 388, 468, 582, 873, 1164, 1261, 1746, 2522, 3492, 3783, 5044, 7566, 11349, 15132, 22698

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45384 and 45396. The biggest common factor number is the GCF number.
So the greatest common factor 45384 and 45396 is 12.

Also check out the Least Common Multiple of 45384 and 45396