What is the Greatest Common Factor of 905 and 910?

Greatest common factor (GCF) of 905 and 910 is 5.

GCF(905,910) = 5

We will now calculate the prime factors of 905 and 910, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 905 and 910.

How to find the GCF of 905 and 910?

We will first find the prime factorization of 905 and 910. After we will calculate the factors of 905 and 910 and find the biggest common factor number .

Step-1: Prime Factorization of 905

Prime factors of 905 are 5, 181. Prime factorization of 905 in exponential form is:

905 = 5¹ × 181¹

Step-2: Prime Factorization of 910

Prime factors of 910 are 2, 5, 7, 13. Prime factorization of 910 in exponential form is:

910 = 2¹ × 5¹ × 7¹ × 13¹

Step-3: Factors of 905

List of positive integer factors of 905 that divides 905 without a remainder.

1, 5, 181

Step-4: Factors of 910

List of positive integer factors of 910 that divides 905 without a remainder.

1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 905 and 910. The biggest common factor number is the GCF number.
So the greatest common factor 905 and 910 is 5.

Also check out the Least Common Multiple of 905 and 910