What is the Greatest Common Factor of 39784 and 39804?

Greatest common factor (GCF) of 39784 and 39804 is 4.

GCF(39784,39804) = 4

We will now calculate the prime factors of 39784 and 39804, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39784 and 39804.

How to find the GCF of 39784 and 39804?

We will first find the prime factorization of 39784 and 39804. After we will calculate the factors of 39784 and 39804 and find the biggest common factor number .

Step-1: Prime Factorization of 39784

Prime factors of 39784 are 2, 4973. Prime factorization of 39784 in exponential form is:

39784 = 2³ × 4973¹

Step-2: Prime Factorization of 39804

Prime factors of 39804 are 2, 3, 31, 107. Prime factorization of 39804 in exponential form is:

39804 = 2² × 3¹ × 31¹ × 107¹

Step-3: Factors of 39784

List of positive integer factors of 39784 that divides 39784 without a remainder.

1, 2, 4, 8, 4973, 9946, 19892

Step-4: Factors of 39804

List of positive integer factors of 39804 that divides 39784 without a remainder.

1, 2, 3, 4, 6, 12, 31, 62, 93, 107, 124, 186, 214, 321, 372, 428, 642, 1284, 3317, 6634, 9951, 13268, 19902

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39784 and 39804. The biggest common factor number is the GCF number.
So the greatest common factor 39784 and 39804 is 4.

Also check out the Least Common Multiple of 39784 and 39804