What is the Greatest Common Factor of 45408 and 45419?

Greatest common factor (GCF) of 45408 and 45419 is 11.

GCF(45408,45419) = 11

We will now calculate the prime factors of 45408 and 45419, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45408 and 45419.

How to find the GCF of 45408 and 45419?

We will first find the prime factorization of 45408 and 45419. After we will calculate the factors of 45408 and 45419 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 45419

Prime factors of 45419 are 11, 4129. Prime factorization of 45419 in exponential form is:

45419 = 11¹ × 4129¹

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 45419

List of positive integer factors of 45419 that divides 45408 without a remainder.

1, 11, 4129

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45408 and 45419. The biggest common factor number is the GCF number.
So the greatest common factor 45408 and 45419 is 11.

Also check out the Least Common Multiple of 45408 and 45419