What is the Greatest Common Factor of 39450 and 39465?

Greatest common factor (GCF) of 39450 and 39465 is 15.

GCF(39450,39465) = 15

We will now calculate the prime factors of 39450 and 39465, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39450 and 39465.

How to find the GCF of 39450 and 39465?

We will first find the prime factorization of 39450 and 39465. After we will calculate the factors of 39450 and 39465 and find the biggest common factor number .

Step-1: Prime Factorization of 39450

Prime factors of 39450 are 2, 3, 5, 263. Prime factorization of 39450 in exponential form is:

39450 = 2¹ × 3¹ × 5² × 263¹

Step-2: Prime Factorization of 39465

Prime factors of 39465 are 3, 5, 877. Prime factorization of 39465 in exponential form is:

39465 = 3² × 5¹ × 877¹

Step-3: Factors of 39450

List of positive integer factors of 39450 that divides 39450 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150, 263, 526, 789, 1315, 1578, 2630, 3945, 6575, 7890, 13150, 19725

Step-4: Factors of 39465

List of positive integer factors of 39465 that divides 39450 without a remainder.

1, 3, 5, 9, 15, 45, 877, 2631, 4385, 7893, 13155

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39450 and 39465. The biggest common factor number is the GCF number.
So the greatest common factor 39450 and 39465 is 15.

Also check out the Least Common Multiple of 39450 and 39465