What is the Greatest Common Factor of 43520 and 43538?

Greatest common factor (GCF) of 43520 and 43538 is 2.

GCF(43520,43538) = 2

We will now calculate the prime factors of 43520 and 43538, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43520 and 43538.

How to find the GCF of 43520 and 43538?

We will first find the prime factorization of 43520 and 43538. After we will calculate the factors of 43520 and 43538 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 43538

Prime factors of 43538 are 2, 11, 1979. Prime factorization of 43538 in exponential form is:

43538 = 2¹ × 11¹ × 1979¹

Step-3: Factors of 43520

List of positive integer factors of 43520 that divides 43520 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

Step-4: Factors of 43538

List of positive integer factors of 43538 that divides 43520 without a remainder.

1, 2, 11, 22, 1979, 3958, 21769

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43520 and 43538. The biggest common factor number is the GCF number.
So the greatest common factor 43520 and 43538 is 2.

Also check out the Least Common Multiple of 43520 and 43538