What is the Greatest Common Factor of 917 and 930?

Greatest common factor (GCF) of 917 and 930 is 1.

GCF(917,930) = 1

We will now calculate the prime factors of 917 and 930, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 917 and 930.

How to find the GCF of 917 and 930?

We will first find the prime factorization of 917 and 930. After we will calculate the factors of 917 and 930 and find the biggest common factor number .

Step-1: Prime Factorization of 917

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

917 = 7¹ × 131¹

Step-2: Prime Factorization of 930

Prime factors of 930 are 2, 3, 5, 31. Prime factorization of 930 in exponential form is:

930 = 2¹ × 3¹ × 5¹ × 31¹

Step-3: Factors of 917

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

1, 7, 131

Step-4: Factors of 930

List of positive integer factors of 930 that divides 917 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 917 and 930. The biggest common factor number is the GCF number.
So the greatest common factor 917 and 930 is 1.

Also check out the Least Common Multiple of 917 and 930