What is the Greatest Common Factor of 69895 and 69905?

Greatest common factor (GCF) of 69895 and 69905 is 5.

GCF(69895,69905) = 5

We will now calculate the prime factors of 69895 and 69905, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69895 and 69905.

How to find the GCF of 69895 and 69905?

We will first find the prime factorization of 69895 and 69905. After we will calculate the factors of 69895 and 69905 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 69905

Prime factors of 69905 are 5, 11, 31, 41. Prime factorization of 69905 in exponential form is:

69905 = 5¹ × 11¹ × 31¹ × 41¹

Step-3: Factors of 69895

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

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

Step-4: Factors of 69905

List of positive integer factors of 69905 that divides 69895 without a remainder.

1, 5, 11, 31, 41, 55, 155, 205, 341, 451, 1271, 1705, 2255, 6355, 13981

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69895 and 69905. The biggest common factor number is the GCF number.
So the greatest common factor 69895 and 69905 is 5.

Also check out the Least Common Multiple of 69895 and 69905