What is the Greatest Common Factor of 69890 and 69895?

Greatest common factor (GCF) of 69890 and 69895 is 5.

GCF(69890,69895) = 5

We will now calculate the prime factors of 69890 and 69895, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69890 and 69895.

How to find the GCF of 69890 and 69895?

We will first find the prime factorization of 69890 and 69895. After we will calculate the factors of 69890 and 69895 and find the biggest common factor number .

Step-1: Prime Factorization of 69890

Prime factors of 69890 are 2, 5, 29, 241. Prime factorization of 69890 in exponential form is:

69890 = 2¹ × 5¹ × 29¹ × 241¹

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 69890

List of positive integer factors of 69890 that divides 69890 without a remainder.

1, 2, 5, 10, 29, 58, 145, 241, 290, 482, 1205, 2410, 6989, 13978, 34945

Step-4: Factors of 69895

List of positive integer factors of 69895 that divides 69890 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69890 and 69895. The biggest common factor number is the GCF number.
So the greatest common factor 69890 and 69895 is 5.

Also check out the Least Common Multiple of 69890 and 69895