What is the Greatest Common Factor of 45384 and 45398?

Greatest common factor (GCF) of 45384 and 45398 is 2.

GCF(45384,45398) = 2

We will now calculate the prime factors of 45384 and 45398, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45384 and 45398.

How to find the GCF of 45384 and 45398?

We will first find the prime factorization of 45384 and 45398. After we will calculate the factors of 45384 and 45398 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 45398

Prime factors of 45398 are 2, 22699. Prime factorization of 45398 in exponential form is:

45398 = 2¹ × 22699¹

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 45398

List of positive integer factors of 45398 that divides 45384 without a remainder.

1, 2, 22699

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45384 and 45398. The biggest common factor number is the GCF number.
So the greatest common factor 45384 and 45398 is 2.

Also check out the Least Common Multiple of 45384 and 45398