What is the Greatest Common Factor of 39465 and 39470?

Greatest common factor (GCF) of 39465 and 39470 is 5.

GCF(39465,39470) = 5

We will now calculate the prime factors of 39465 and 39470, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39465 and 39470.

How to find the GCF of 39465 and 39470?

We will first find the prime factorization of 39465 and 39470. After we will calculate the factors of 39465 and 39470 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 39470

Prime factors of 39470 are 2, 5, 3947. Prime factorization of 39470 in exponential form is:

39470 = 2¹ × 5¹ × 3947¹

Step-3: Factors of 39465

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

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

Step-4: Factors of 39470

List of positive integer factors of 39470 that divides 39465 without a remainder.

1, 2, 5, 10, 3947, 7894, 19735

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39465 and 39470. The biggest common factor number is the GCF number.
So the greatest common factor 39465 and 39470 is 5.

Also check out the Least Common Multiple of 39465 and 39470