What is the Greatest Common Factor of 910 and 917?

Greatest common factor (GCF) of 910 and 917 is 7.

GCF(910,917) = 7

We will now calculate the prime factors of 910 and 917, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 910 and 917.

How to find the GCF of 910 and 917?

We will first find the prime factorization of 910 and 917. After we will calculate the factors of 910 and 917 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 917

Prime factors of 917 are 7, 131. Prime factorization of 917 in exponential form is:

917 = 7¹ × 131¹

Step-3: Factors of 910

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

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

Step-4: Factors of 917

List of positive integer factors of 917 that divides 910 without a remainder.

1, 7, 131

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 910 and 917. The biggest common factor number is the GCF number.
So the greatest common factor 910 and 917 is 7.

Also check out the Least Common Multiple of 910 and 917