What is the Greatest Common Factor of 53416 and 53427?

Greatest common factor (GCF) of 53416 and 53427 is 11.

GCF(53416,53427) = 11

We will now calculate the prime factors of 53416 and 53427, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53416 and 53427.

How to find the GCF of 53416 and 53427?

We will first find the prime factorization of 53416 and 53427. After we will calculate the factors of 53416 and 53427 and find the biggest common factor number .

Step-1: Prime Factorization of 53416

Prime factors of 53416 are 2, 11, 607. Prime factorization of 53416 in exponential form is:

53416 = 2³ × 11¹ × 607¹

Step-2: Prime Factorization of 53427

Prime factors of 53427 are 3, 11, 1619. Prime factorization of 53427 in exponential form is:

53427 = 3¹ × 11¹ × 1619¹

Step-3: Factors of 53416

List of positive integer factors of 53416 that divides 53416 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 607, 1214, 2428, 4856, 6677, 13354, 26708

Step-4: Factors of 53427

List of positive integer factors of 53427 that divides 53416 without a remainder.

1, 3, 11, 33, 1619, 4857, 17809

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53416 and 53427. The biggest common factor number is the GCF number.
So the greatest common factor 53416 and 53427 is 11.

Also check out the Least Common Multiple of 53416 and 53427