What is the Greatest Common Factor of 69905 and 69910?

Greatest common factor (GCF) of 69905 and 69910 is 5.

GCF(69905,69910) = 5

We will now calculate the prime factors of 69905 and 69910, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69905 and 69910.

How to find the GCF of 69905 and 69910?

We will first find the prime factorization of 69905 and 69910. After we will calculate the factors of 69905 and 69910 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 69910

Prime factors of 69910 are 2, 5, 6991. Prime factorization of 69910 in exponential form is:

69910 = 2¹ × 5¹ × 6991¹

Step-3: Factors of 69905

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

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

Step-4: Factors of 69910

List of positive integer factors of 69910 that divides 69905 without a remainder.

1, 2, 5, 10, 6991, 13982, 34955

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69905 and 69910. The biggest common factor number is the GCF number.
So the greatest common factor 69905 and 69910 is 5.

Also check out the Least Common Multiple of 69905 and 69910