What is the Greatest Common Factor of 39495 and 39505?

Greatest common factor (GCF) of 39495 and 39505 is 5.

GCF(39495,39505) = 5

We will now calculate the prime factors of 39495 and 39505, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39495 and 39505.

How to find the GCF of 39495 and 39505?

We will first find the prime factorization of 39495 and 39505. After we will calculate the factors of 39495 and 39505 and find the biggest common factor number .

Step-1: Prime Factorization of 39495

Prime factors of 39495 are 3, 5, 2633. Prime factorization of 39495 in exponential form is:

39495 = 3¹ × 5¹ × 2633¹

Step-2: Prime Factorization of 39505

Prime factors of 39505 are 5, 7901. Prime factorization of 39505 in exponential form is:

39505 = 5¹ × 7901¹

Step-3: Factors of 39495

List of positive integer factors of 39495 that divides 39495 without a remainder.

1, 3, 5, 15, 2633, 7899, 13165

Step-4: Factors of 39505

List of positive integer factors of 39505 that divides 39495 without a remainder.

1, 5, 7901

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39495 and 39505. The biggest common factor number is the GCF number.
So the greatest common factor 39495 and 39505 is 5.

Also check out the Least Common Multiple of 39495 and 39505