What is the Greatest Common Factor of 53922 and 53933?

Greatest common factor (GCF) of 53922 and 53933 is 11.

GCF(53922,53933) = 11

We will now calculate the prime factors of 53922 and 53933, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53922 and 53933.

How to find the GCF of 53922 and 53933?

We will first find the prime factorization of 53922 and 53933. After we will calculate the factors of 53922 and 53933 and find the biggest common factor number .

Step-1: Prime Factorization of 53922

Prime factors of 53922 are 2, 3, 11, 19, 43. Prime factorization of 53922 in exponential form is:

53922 = 2¹ × 3¹ × 11¹ × 19¹ × 43¹

Step-2: Prime Factorization of 53933

Prime factors of 53933 are 11, 4903. Prime factorization of 53933 in exponential form is:

53933 = 11¹ × 4903¹

Step-3: Factors of 53922

List of positive integer factors of 53922 that divides 53922 without a remainder.

1, 2, 3, 6, 11, 19, 22, 33, 38, 43, 57, 66, 86, 114, 129, 209, 258, 418, 473, 627, 817, 946, 1254, 1419, 1634, 2451, 2838, 4902, 8987, 17974, 26961

Step-4: Factors of 53933

List of positive integer factors of 53933 that divides 53922 without a remainder.

1, 11, 4903

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53922 and 53933. The biggest common factor number is the GCF number.
So the greatest common factor 53922 and 53933 is 11.

Also check out the Least Common Multiple of 53922 and 53933