What is the Greatest Common Factor of 43508 and 43520?

Greatest common factor (GCF) of 43508 and 43520 is 4.

GCF(43508,43520) = 4

We will now calculate the prime factors of 43508 and 43520, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43508 and 43520.

How to find the GCF of 43508 and 43520?

We will first find the prime factorization of 43508 and 43520. After we will calculate the factors of 43508 and 43520 and find the biggest common factor number .

Step-1: Prime Factorization of 43508

Prime factors of 43508 are 2, 73, 149. Prime factorization of 43508 in exponential form is:

43508 = 2² × 73¹ × 149¹

Step-2: Prime Factorization of 43520

Prime factors of 43520 are 2, 5, 17. Prime factorization of 43520 in exponential form is:

43520 = 2⁹ × 5¹ × 17¹

Step-3: Factors of 43508

List of positive integer factors of 43508 that divides 43508 without a remainder.

1, 2, 4, 73, 146, 149, 292, 298, 596, 10877, 21754

Step-4: Factors of 43520

List of positive integer factors of 43520 that divides 43508 without a remainder.

1, 2, 4, 5, 8, 10, 16, 17, 20, 32, 34, 40, 64, 68, 80, 85, 128, 136, 160, 170, 256, 272, 320, 340, 512, 544, 640, 680, 1088, 1280, 1360, 2176, 2560, 2720, 4352, 5440, 8704, 10880, 21760

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43508 and 43520. The biggest common factor number is the GCF number.
So the greatest common factor 43508 and 43520 is 4.

Also check out the Least Common Multiple of 43508 and 43520