What is the Greatest Common Factor of 39300 and 39304?

Greatest common factor (GCF) of 39300 and 39304 is 4.

GCF(39300,39304) = 4

We will now calculate the prime factors of 39300 and 39304, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39300 and 39304.

How to find the GCF of 39300 and 39304?

We will first find the prime factorization of 39300 and 39304. After we will calculate the factors of 39300 and 39304 and find the biggest common factor number .

Step-1: Prime Factorization of 39300

Prime factors of 39300 are 2, 3, 5, 131. Prime factorization of 39300 in exponential form is:

39300 = 2² × 3¹ × 5² × 131¹

Step-2: Prime Factorization of 39304

Prime factors of 39304 are 2, 17. Prime factorization of 39304 in exponential form is:

39304 = 2³ × 17³

Step-3: Factors of 39300

List of positive integer factors of 39300 that divides 39300 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 131, 150, 262, 300, 393, 524, 655, 786, 1310, 1572, 1965, 2620, 3275, 3930, 6550, 7860, 9825, 13100, 19650

Step-4: Factors of 39304

List of positive integer factors of 39304 that divides 39300 without a remainder.

1, 2, 4, 8, 17, 34, 68, 136, 289, 578, 1156, 2312, 4913, 9826, 19652

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39300 and 39304. The biggest common factor number is the GCF number.
So the greatest common factor 39300 and 39304 is 4.

Also check out the Least Common Multiple of 39300 and 39304