What is the Greatest Common Factor of 39520 and 39536?

Greatest common factor (GCF) of 39520 and 39536 is 16.

GCF(39520,39536) = 16

We will now calculate the prime factors of 39520 and 39536, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39520 and 39536.

How to find the GCF of 39520 and 39536?

We will first find the prime factorization of 39520 and 39536. After we will calculate the factors of 39520 and 39536 and find the biggest common factor number .

Step-1: Prime Factorization of 39520

Prime factors of 39520 are 2, 5, 13, 19. Prime factorization of 39520 in exponential form is:

39520 = 2⁵ × 5¹ × 13¹ × 19¹

Step-2: Prime Factorization of 39536

Prime factors of 39536 are 2, 7, 353. Prime factorization of 39536 in exponential form is:

39536 = 2⁴ × 7¹ × 353¹

Step-3: Factors of 39520

List of positive integer factors of 39520 that divides 39520 without a remainder.

1, 2, 4, 5, 8, 10, 13, 16, 19, 20, 26, 32, 38, 40, 52, 65, 76, 80, 95, 104, 130, 152, 160, 190, 208, 247, 260, 304, 380, 416, 494, 520, 608, 760, 988, 1040, 1235, 1520, 1976, 2080, 2470, 3040, 3952, 4940, 7904, 9880, 19760

Step-4: Factors of 39536

List of positive integer factors of 39536 that divides 39520 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 353, 706, 1412, 2471, 2824, 4942, 5648, 9884, 19768

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39520 and 39536. The biggest common factor number is the GCF number.
So the greatest common factor 39520 and 39536 is 16.

Also check out the Least Common Multiple of 39520 and 39536