What is the Greatest Common Factor of 69885 and 69895?

Greatest common factor (GCF) of 69885 and 69895 is 5.

GCF(69885,69895) = 5

We will now calculate the prime factors of 69885 and 69895, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69885 and 69895.

How to find the GCF of 69885 and 69895?

We will first find the prime factorization of 69885 and 69895. After we will calculate the factors of 69885 and 69895 and find the biggest common factor number .

Step-1: Prime Factorization of 69885

Prime factors of 69885 are 3, 5, 1553. Prime factorization of 69885 in exponential form is:

69885 = 3² × 5¹ × 1553¹

Step-2: Prime Factorization of 69895

Prime factors of 69895 are 5, 7, 1997. Prime factorization of 69895 in exponential form is:

69895 = 5¹ × 7¹ × 1997¹

Step-3: Factors of 69885

List of positive integer factors of 69885 that divides 69885 without a remainder.

1, 3, 5, 9, 15, 45, 1553, 4659, 7765, 13977, 23295

Step-4: Factors of 69895

List of positive integer factors of 69895 that divides 69885 without a remainder.

1, 5, 7, 35, 1997, 9985, 13979

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69885 and 69895. The biggest common factor number is the GCF number.
So the greatest common factor 69885 and 69895 is 5.

Also check out the Least Common Multiple of 69885 and 69895