What is the Greatest Common Factor of 1918 and 1932?

Greatest common factor (GCF) of 1918 and 1932 is 14.

GCF(1918,1932) = 14

We will now calculate the prime factors of 1918 and 1932, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1918 and 1932.

How to find the GCF of 1918 and 1932?

We will first find the prime factorization of 1918 and 1932. After we will calculate the factors of 1918 and 1932 and find the biggest common factor number .

Step-1: Prime Factorization of 1918

Prime factors of 1918 are 2, 7, 137. Prime factorization of 1918 in exponential form is:

1918 = 2¹ × 7¹ × 137¹

Step-2: 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-3: Factors of 1918

List of positive integer factors of 1918 that divides 1918 without a remainder.

1, 2, 7, 14, 137, 274, 959

Step-4: Factors of 1932

List of positive integer factors of 1932 that divides 1918 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1918 and 1932. The biggest common factor number is the GCF number.
So the greatest common factor 1918 and 1932 is 14.

Also check out the Least Common Multiple of 1918 and 1932