What is the Greatest Common Factor of 45310 and 45320?

Greatest common factor (GCF) of 45310 and 45320 is 10.

GCF(45310,45320) = 10

We will now calculate the prime factors of 45310 and 45320, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45310 and 45320.

How to find the GCF of 45310 and 45320?

We will first find the prime factorization of 45310 and 45320. After we will calculate the factors of 45310 and 45320 and find the biggest common factor number .

Step-1: Prime Factorization of 45310

Prime factors of 45310 are 2, 5, 23, 197. Prime factorization of 45310 in exponential form is:

45310 = 2¹ × 5¹ × 23¹ × 197¹

Step-2: Prime Factorization of 45320

Prime factors of 45320 are 2, 5, 11, 103. Prime factorization of 45320 in exponential form is:

45320 = 2³ × 5¹ × 11¹ × 103¹

Step-3: Factors of 45310

List of positive integer factors of 45310 that divides 45310 without a remainder.

1, 2, 5, 10, 23, 46, 115, 197, 230, 394, 985, 1970, 4531, 9062, 22655

Step-4: Factors of 45320

List of positive integer factors of 45320 that divides 45310 without a remainder.

1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 103, 110, 206, 220, 412, 440, 515, 824, 1030, 1133, 2060, 2266, 4120, 4532, 5665, 9064, 11330, 22660

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45310 and 45320. The biggest common factor number is the GCF number.
So the greatest common factor 45310 and 45320 is 10.

Also check out the Least Common Multiple of 45310 and 45320