What is the Greatest Common Factor of 1928 and 1946?

Greatest common factor (GCF) of 1928 and 1946 is 2.

GCF(1928,1946) = 2

We will now calculate the prime factors of 1928 and 1946, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1928 and 1946.

How to find the GCF of 1928 and 1946?

We will first find the prime factorization of 1928 and 1946. After we will calculate the factors of 1928 and 1946 and find the biggest common factor number .

Step-1: Prime Factorization of 1928

Prime factors of 1928 are 2, 241. Prime factorization of 1928 in exponential form is:

1928 = 2³ × 241¹

Step-2: Prime Factorization of 1946

Prime factors of 1946 are 2, 7, 139. Prime factorization of 1946 in exponential form is:

1946 = 2¹ × 7¹ × 139¹

Step-3: Factors of 1928

List of positive integer factors of 1928 that divides 1928 without a remainder.

1, 2, 4, 8, 241, 482, 964

Step-4: Factors of 1946

List of positive integer factors of 1946 that divides 1928 without a remainder.

1, 2, 7, 14, 139, 278, 973

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1928 and 1946. The biggest common factor number is the GCF number.
So the greatest common factor 1928 and 1946 is 2.

Also check out the Least Common Multiple of 1928 and 1946