What is the Greatest Common Factor of 45408 and 45420?

Greatest common factor (GCF) of 45408 and 45420 is 12.

GCF(45408,45420) = 12

We will now calculate the prime factors of 45408 and 45420, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45408 and 45420.

How to find the GCF of 45408 and 45420?

We will first find the prime factorization of 45408 and 45420. After we will calculate the factors of 45408 and 45420 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 45420

Prime factors of 45420 are 2, 3, 5, 757. Prime factorization of 45420 in exponential form is:

45420 = 2² × 3¹ × 5¹ × 757¹

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 45420

List of positive integer factors of 45420 that divides 45408 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 757, 1514, 2271, 3028, 3785, 4542, 7570, 9084, 11355, 15140, 22710

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45408 and 45420. The biggest common factor number is the GCF number.
So the greatest common factor 45408 and 45420 is 12.

Also check out the Least Common Multiple of 45408 and 45420