What is the Greatest Common Factor of 1930 and 1940?

Greatest common factor (GCF) of 1930 and 1940 is 10.

GCF(1930,1940) = 10

We will now calculate the prime factors of 1930 and 1940, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1930 and 1940.

How to find the GCF of 1930 and 1940?

We will first find the prime factorization of 1930 and 1940. After we will calculate the factors of 1930 and 1940 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 1940

Prime factors of 1940 are 2, 5, 97. Prime factorization of 1940 in exponential form is:

1940 = 2² × 5¹ × 97¹

Step-3: Factors of 1930

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

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

Step-4: Factors of 1940

List of positive integer factors of 1940 that divides 1930 without a remainder.

1, 2, 4, 5, 10, 20, 97, 194, 388, 485, 970

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1930 and 1940. The biggest common factor number is the GCF number.
So the greatest common factor 1930 and 1940 is 10.

Also check out the Least Common Multiple of 1930 and 1940