What is the Greatest Common Factor of 1932 and 1946?

Greatest common factor (GCF) of 1932 and 1946 is 14.

GCF(1932,1946) = 14

We will now calculate the prime factors of 1932 and 1946, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1932 and 1946.

How to find the GCF of 1932 and 1946?

We will first find the prime factorization of 1932 and 1946. After we will calculate the factors of 1932 and 1946 and find the biggest common factor number .

Step-1: Prime Factorization of 1932

Prime factors of 1932 are 2, 3, 7, 23. Prime factorization of 1932 in exponential form is:

1932 = 2² × 3¹ × 7¹ × 23¹

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 1932

List of positive integer factors of 1932 that divides 1932 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 23, 28, 42, 46, 69, 84, 92, 138, 161, 276, 322, 483, 644, 966

Step-4: Factors of 1946

List of positive integer factors of 1946 that divides 1932 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1932 and 1946. The biggest common factor number is the GCF number.
So the greatest common factor 1932 and 1946 is 14.

Also check out the Least Common Multiple of 1932 and 1946