What is the Greatest Common Factor of 45408 and 45428?

Greatest common factor (GCF) of 45408 and 45428 is 4.

GCF(45408,45428) = 4

We will now calculate the prime factors of 45408 and 45428, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45408 and 45428.

How to find the GCF of 45408 and 45428?

We will first find the prime factorization of 45408 and 45428. After we will calculate the factors of 45408 and 45428 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 45428

Prime factors of 45428 are 2, 41, 277. Prime factorization of 45428 in exponential form is:

45428 = 2² × 41¹ × 277¹

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 45428

List of positive integer factors of 45428 that divides 45408 without a remainder.

1, 2, 4, 41, 82, 164, 277, 554, 1108, 11357, 22714

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45408 and 45428. The biggest common factor number is the GCF number.
So the greatest common factor 45408 and 45428 is 4.

Also check out the Least Common Multiple of 45408 and 45428