What is the Greatest Common Factor of 1922 and 1930?

Greatest common factor (GCF) of 1922 and 1930 is 2.

GCF(1922,1930) = 2

We will now calculate the prime factors of 1922 and 1930, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1922 and 1930.

How to find the GCF of 1922 and 1930?

We will first find the prime factorization of 1922 and 1930. After we will calculate the factors of 1922 and 1930 and find the biggest common factor number .

Step-1: Prime Factorization of 1922

Prime factors of 1922 are 2, 31. Prime factorization of 1922 in exponential form is:

1922 = 2¹ × 31²

Step-2: Prime Factorization of 1930

Prime factors of 1930 are 2, 5, 193. Prime factorization of 1930 in exponential form is:

1930 = 2¹ × 5¹ × 193¹

Step-3: Factors of 1922

List of positive integer factors of 1922 that divides 1922 without a remainder.

1, 2, 31, 62, 961

Step-4: Factors of 1930

List of positive integer factors of 1930 that divides 1922 without a remainder.

1, 2, 5, 10, 193, 386, 965

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1922 and 1930. The biggest common factor number is the GCF number.
So the greatest common factor 1922 and 1930 is 2.

Also check out the Least Common Multiple of 1922 and 1930