What is the Greatest Common Factor of 45384 and 45397?

Greatest common factor (GCF) of 45384 and 45397 is 1.

GCF(45384,45397) = 1

We will now calculate the prime factors of 45384 and 45397, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45384 and 45397.

How to find the GCF of 45384 and 45397?

We will first find the prime factorization of 45384 and 45397. After we will calculate the factors of 45384 and 45397 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 45397

Prime factors of 45397 are 11, 4127. Prime factorization of 45397 in exponential form is:

45397 = 11¹ × 4127¹

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 45397

List of positive integer factors of 45397 that divides 45384 without a remainder.

1, 11, 4127

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45384 and 45397. The biggest common factor number is the GCF number.
So the greatest common factor 45384 and 45397 is 1.

Also check out the Least Common Multiple of 45384 and 45397