What is the Greatest Common Factor of 45140 and 45160?

Greatest common factor (GCF) of 45140 and 45160 is 20.

GCF(45140,45160) = 20

We will now calculate the prime factors of 45140 and 45160, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45140 and 45160.

How to find the GCF of 45140 and 45160?

We will first find the prime factorization of 45140 and 45160. After we will calculate the factors of 45140 and 45160 and find the biggest common factor number .

Step-1: 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-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 45140

List of positive integer factors of 45140 that divides 45140 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

Step-4: Factors of 45160

List of positive integer factors of 45160 that divides 45140 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 45140 and 45160. The biggest common factor number is the GCF number.
So the greatest common factor 45140 and 45160 is 20.

Also check out the Least Common Multiple of 45140 and 45160