What is the Greatest Common Factor of 39300 and 39305?

Greatest common factor (GCF) of 39300 and 39305 is 5.

GCF(39300,39305) = 5

We will now calculate the prime factors of 39300 and 39305, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39300 and 39305.

How to find the GCF of 39300 and 39305?

We will first find the prime factorization of 39300 and 39305. After we will calculate the factors of 39300 and 39305 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 39305

Prime factors of 39305 are 5, 7, 1123. Prime factorization of 39305 in exponential form is:

39305 = 5¹ × 7¹ × 1123¹

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 39305

List of positive integer factors of 39305 that divides 39300 without a remainder.

1, 5, 7, 35, 1123, 5615, 7861

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39300 and 39305. The biggest common factor number is the GCF number.
So the greatest common factor 39300 and 39305 is 5.

Also check out the Least Common Multiple of 39300 and 39305