What is the Greatest Common Factor of 45143 and 45160?

Greatest common factor (GCF) of 45143 and 45160 is 1.

GCF(45143,45160) = 1

We will now calculate the prime factors of 45143 and 45160, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45143 and 45160.

How to find the GCF of 45143 and 45160?

We will first find the prime factorization of 45143 and 45160. After we will calculate the factors of 45143 and 45160 and find the biggest common factor number .

Step-1: Prime Factorization of 45143

Prime factors of 45143 are 7, 6449. Prime factorization of 45143 in exponential form is:

45143 = 7¹ × 6449¹

Step-2: Prime Factorization of 45160

Prime factors of 45160 are 2, 5, 1129. Prime factorization of 45160 in exponential form is:

45160 = 2³ × 5¹ × 1129¹

Step-3: Factors of 45143

List of positive integer factors of 45143 that divides 45143 without a remainder.

1, 7, 6449

Step-4: Factors of 45160

List of positive integer factors of 45160 that divides 45143 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 1129, 2258, 4516, 5645, 9032, 11290, 22580

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45143 and 45160. The biggest common factor number is the GCF number.
So the greatest common factor 45143 and 45160 is 1.

Also check out the Least Common Multiple of 45143 and 45160