What is the Greatest Common Factor of 45408 and 45414?

Greatest common factor (GCF) of 45408 and 45414 is 6.

GCF(45408,45414) = 6

We will now calculate the prime factors of 45408 and 45414, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45408 and 45414.

How to find the GCF of 45408 and 45414?

We will first find the prime factorization of 45408 and 45414. After we will calculate the factors of 45408 and 45414 and find the biggest common factor number .

Step-1: Prime Factorization of 45408

Prime factors of 45408 are 2, 3, 11, 43. Prime factorization of 45408 in exponential form is:

45408 = 2⁵ × 3¹ × 11¹ × 43¹

Step-2: Prime Factorization of 45414

Prime factors of 45414 are 2, 3, 29. Prime factorization of 45414 in exponential form is:

45414 = 2¹ × 3³ × 29²

Step-3: Factors of 45408

List of positive integer factors of 45408 that divides 45408 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 32, 33, 43, 44, 48, 66, 86, 88, 96, 129, 132, 172, 176, 258, 264, 344, 352, 473, 516, 528, 688, 946, 1032, 1056, 1376, 1419, 1892, 2064, 2838, 3784, 4128, 5676, 7568, 11352, 15136, 22704

Step-4: Factors of 45414

List of positive integer factors of 45414 that divides 45408 without a remainder.

1, 2, 3, 6, 9, 18, 27, 29, 54, 58, 87, 174, 261, 522, 783, 841, 1566, 1682, 2523, 5046, 7569, 15138, 22707

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45408 and 45414. The biggest common factor number is the GCF number.
So the greatest common factor 45408 and 45414 is 6.

Also check out the Least Common Multiple of 45408 and 45414