What is the Greatest Common Factor of 45130 and 45140?

Greatest common factor (GCF) of 45130 and 45140 is 10.

GCF(45130,45140) = 10

We will now calculate the prime factors of 45130 and 45140, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45130 and 45140.

How to find the GCF of 45130 and 45140?

We will first find the prime factorization of 45130 and 45140. After we will calculate the factors of 45130 and 45140 and find the biggest common factor number .

Step-1: Prime Factorization of 45130

Prime factors of 45130 are 2, 5, 4513. Prime factorization of 45130 in exponential form is:

45130 = 2¹ × 5¹ × 4513¹

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 45130

List of positive integer factors of 45130 that divides 45130 without a remainder.

1, 2, 5, 10, 4513, 9026, 22565

Step-4: Factors of 45140

List of positive integer factors of 45140 that divides 45130 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 45130 and 45140. The biggest common factor number is the GCF number.
So the greatest common factor 45130 and 45140 is 10.

Also check out the Least Common Multiple of 45130 and 45140