What is the Greatest Common Factor of 45379 and 45384?

Greatest common factor (GCF) of 45379 and 45384 is 1.

GCF(45379,45384) = 1

We will now calculate the prime factors of 45379 and 45384, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45379 and 45384.

How to find the GCF of 45379 and 45384?

We will first find the prime factorization of 45379 and 45384. After we will calculate the factors of 45379 and 45384 and find the biggest common factor number .

Step-1: Prime Factorization of 45379

Prime factors of 45379 are 23, 1973. Prime factorization of 45379 in exponential form is:

45379 = 23¹ × 1973¹

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 45379

List of positive integer factors of 45379 that divides 45379 without a remainder.

1, 23, 1973

Step-4: Factors of 45384

List of positive integer factors of 45384 that divides 45379 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 45379 and 45384. The biggest common factor number is the GCF number.
So the greatest common factor 45379 and 45384 is 1.

Also check out the Least Common Multiple of 45379 and 45384