What is the Greatest Common Factor of 39520 and 39533?

Greatest common factor (GCF) of 39520 and 39533 is 13.

GCF(39520,39533) = 13

We will now calculate the prime factors of 39520 and 39533, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39520 and 39533.

How to find the GCF of 39520 and 39533?

We will first find the prime factorization of 39520 and 39533. After we will calculate the factors of 39520 and 39533 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 39533

Prime factors of 39533 are 13, 3041. Prime factorization of 39533 in exponential form is:

39533 = 13¹ × 3041¹

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 39533

List of positive integer factors of 39533 that divides 39520 without a remainder.

1, 13, 3041

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39520 and 39533. The biggest common factor number is the GCF number.
So the greatest common factor 39520 and 39533 is 13.

Also check out the Least Common Multiple of 39520 and 39533