What is the Greatest Common Factor of 45470 and 45480?

Greatest common factor (GCF) of 45470 and 45480 is 10.

GCF(45470,45480) = 10

We will now calculate the prime factors of 45470 and 45480, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45470 and 45480.

How to find the GCF of 45470 and 45480?

We will first find the prime factorization of 45470 and 45480. After we will calculate the factors of 45470 and 45480 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 45480

Prime factors of 45480 are 2, 3, 5, 379. Prime factorization of 45480 in exponential form is:

45480 = 2³ × 3¹ × 5¹ × 379¹

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 45480

List of positive integer factors of 45480 that divides 45470 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 379, 758, 1137, 1516, 1895, 2274, 3032, 3790, 4548, 5685, 7580, 9096, 11370, 15160, 22740

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45470 and 45480. The biggest common factor number is the GCF number.
So the greatest common factor 45470 and 45480 is 10.

Also check out the Least Common Multiple of 45470 and 45480