What is the Greatest Common Factor of 45290 and 45305?

Greatest common factor (GCF) of 45290 and 45305 is 5.

GCF(45290,45305) = 5

We will now calculate the prime factors of 45290 and 45305, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45290 and 45305.

How to find the GCF of 45290 and 45305?

We will first find the prime factorization of 45290 and 45305. After we will calculate the factors of 45290 and 45305 and find the biggest common factor number .

Step-1: Prime Factorization of 45290

Prime factors of 45290 are 2, 5, 7, 647. Prime factorization of 45290 in exponential form is:

45290 = 2¹ × 5¹ × 7¹ × 647¹

Step-2: Prime Factorization of 45305

Prime factors of 45305 are 5, 13, 17, 41. Prime factorization of 45305 in exponential form is:

45305 = 5¹ × 13¹ × 17¹ × 41¹

Step-3: Factors of 45290

List of positive integer factors of 45290 that divides 45290 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 647, 1294, 3235, 4529, 6470, 9058, 22645

Step-4: Factors of 45305

List of positive integer factors of 45305 that divides 45290 without a remainder.

1, 5, 13, 17, 41, 65, 85, 205, 221, 533, 697, 1105, 2665, 3485, 9061

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45290 and 45305. The biggest common factor number is the GCF number.
So the greatest common factor 45290 and 45305 is 5.

Also check out the Least Common Multiple of 45290 and 45305