What is the Greatest Common Factor of 45470 and 45490?

Greatest common factor (GCF) of 45470 and 45490 is 10.

GCF(45470,45490) = 10

We will now calculate the prime factors of 45470 and 45490, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45470 and 45490.

How to find the GCF of 45470 and 45490?

We will first find the prime factorization of 45470 and 45490. After we will calculate the factors of 45470 and 45490 and find the biggest common factor number .

Step-1: Prime Factorization of 45470

Prime factors of 45470 are 2, 5, 4547. Prime factorization of 45470 in exponential form is:

45470 = 2¹ × 5¹ × 4547¹

Step-2: Prime Factorization of 45490

Prime factors of 45490 are 2, 5, 4549. Prime factorization of 45490 in exponential form is:

45490 = 2¹ × 5¹ × 4549¹

Step-3: Factors of 45470

List of positive integer factors of 45470 that divides 45470 without a remainder.

1, 2, 5, 10, 4547, 9094, 22735

Step-4: Factors of 45490

List of positive integer factors of 45490 that divides 45470 without a remainder.

1, 2, 5, 10, 4549, 9098, 22745

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45470 and 45490. The biggest common factor number is the GCF number.
So the greatest common factor 45470 and 45490 is 10.

Also check out the Least Common Multiple of 45470 and 45490