What is the Greatest Common Factor of 39824 and 39839?

Greatest common factor (GCF) of 39824 and 39839 is 1.

GCF(39824,39839) = 1

We will now calculate the prime factors of 39824 and 39839, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39824 and 39839.

How to find the GCF of 39824 and 39839?

We will first find the prime factorization of 39824 and 39839. After we will calculate the factors of 39824 and 39839 and find the biggest common factor number .

Step-1: Prime Factorization of 39824

Prime factors of 39824 are 2, 19, 131. Prime factorization of 39824 in exponential form is:

39824 = 2⁴ × 19¹ × 131¹

Step-2: Prime Factorization of 39839

Prime factors of 39839 are 39839. Prime factorization of 39839 in exponential form is:

39839 = 39839¹

Step-3: Factors of 39824

List of positive integer factors of 39824 that divides 39824 without a remainder.

1, 2, 4, 8, 16, 19, 38, 76, 131, 152, 262, 304, 524, 1048, 2096, 2489, 4978, 9956, 19912

Step-4: Factors of 39839

List of positive integer factors of 39839 that divides 39824 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39824 and 39839. The biggest common factor number is the GCF number.
So the greatest common factor 39824 and 39839 is 1.

Also check out the Least Common Multiple of 39824 and 39839