What is the Greatest Common Factor of 45372 and 45384?

Greatest common factor (GCF) of 45372 and 45384 is 12.

GCF(45372,45384) = 12

We will now calculate the prime factors of 45372 and 45384, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45372 and 45384.

How to find the GCF of 45372 and 45384?

We will first find the prime factorization of 45372 and 45384. After we will calculate the factors of 45372 and 45384 and find the biggest common factor number .

Step-1: Prime Factorization of 45372

Prime factors of 45372 are 2, 3, 19, 199. Prime factorization of 45372 in exponential form is:

45372 = 2² × 3¹ × 19¹ × 199¹

Step-2: 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-3: Factors of 45372

List of positive integer factors of 45372 that divides 45372 without a remainder.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 199, 228, 398, 597, 796, 1194, 2388, 3781, 7562, 11343, 15124, 22686

Step-4: Factors of 45384

List of positive integer factors of 45384 that divides 45372 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45372 and 45384. The biggest common factor number is the GCF number.
So the greatest common factor 45372 and 45384 is 12.

Also check out the Least Common Multiple of 45372 and 45384