What is the Greatest Common Factor of 39300 and 39320?

Greatest common factor (GCF) of 39300 and 39320 is 20.

GCF(39300,39320) = 20

We will now calculate the prime factors of 39300 and 39320, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39300 and 39320.

How to find the GCF of 39300 and 39320?

We will first find the prime factorization of 39300 and 39320. After we will calculate the factors of 39300 and 39320 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 39320

Prime factors of 39320 are 2, 5, 983. Prime factorization of 39320 in exponential form is:

39320 = 2³ × 5¹ × 983¹

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 39320

List of positive integer factors of 39320 that divides 39300 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 983, 1966, 3932, 4915, 7864, 9830, 19660

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39300 and 39320. The biggest common factor number is the GCF number.
So the greatest common factor 39300 and 39320 is 20.

Also check out the Least Common Multiple of 39300 and 39320