What is the Greatest Common Factor of 43470 and 43480?

Greatest common factor (GCF) of 43470 and 43480 is 10.

GCF(43470,43480) = 10

We will now calculate the prime factors of 43470 and 43480, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43470 and 43480.

How to find the GCF of 43470 and 43480?

We will first find the prime factorization of 43470 and 43480. After we will calculate the factors of 43470 and 43480 and find the biggest common factor number .

Step-1: Prime Factorization of 43470

Prime factors of 43470 are 2, 3, 5, 7, 23. Prime factorization of 43470 in exponential form is:

43470 = 2¹ × 3³ × 5¹ × 7¹ × 23¹

Step-2: Prime Factorization of 43480

Prime factors of 43480 are 2, 5, 1087. Prime factorization of 43480 in exponential form is:

43480 = 2³ × 5¹ × 1087¹

Step-3: Factors of 43470

List of positive integer factors of 43470 that divides 43470 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 23, 27, 30, 35, 42, 45, 46, 54, 63, 69, 70, 90, 105, 115, 126, 135, 138, 161, 189, 207, 210, 230, 270, 315, 322, 345, 378, 414, 483, 621, 630, 690, 805, 945, 966, 1035, 1242, 1449, 1610, 1890, 2070, 2415, 2898, 3105, 4347, 4830, 6210, 7245, 8694, 14490, 21735

Step-4: Factors of 43480

List of positive integer factors of 43480 that divides 43470 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 1087, 2174, 4348, 5435, 8696, 10870, 21740

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43470 and 43480. The biggest common factor number is the GCF number.
So the greatest common factor 43470 and 43480 is 10.

Also check out the Least Common Multiple of 43470 and 43480