What is the Greatest Common Factor of 45123 and 45140?

Greatest common factor (GCF) of 45123 and 45140 is 1.

GCF(45123,45140) = 1

We will now calculate the prime factors of 45123 and 45140, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45123 and 45140.

How to find the GCF of 45123 and 45140?

We will first find the prime factorization of 45123 and 45140. After we will calculate the factors of 45123 and 45140 and find the biggest common factor number .

Step-1: Prime Factorization of 45123

Prime factors of 45123 are 3, 13, 89. Prime factorization of 45123 in exponential form is:

45123 = 3¹ × 13² × 89¹

Step-2: Prime Factorization of 45140

Prime factors of 45140 are 2, 5, 37, 61. Prime factorization of 45140 in exponential form is:

45140 = 2² × 5¹ × 37¹ × 61¹

Step-3: Factors of 45123

List of positive integer factors of 45123 that divides 45123 without a remainder.

1, 3, 13, 39, 89, 169, 267, 507, 1157, 3471, 15041

Step-4: Factors of 45140

List of positive integer factors of 45140 that divides 45123 without a remainder.

1, 2, 4, 5, 10, 20, 37, 61, 74, 122, 148, 185, 244, 305, 370, 610, 740, 1220, 2257, 4514, 9028, 11285, 22570

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45123 and 45140. The biggest common factor number is the GCF number.
So the greatest common factor 45123 and 45140 is 1.

Also check out the Least Common Multiple of 45123 and 45140