What is the Greatest Common Factor of 53427 and 53438?

Greatest common factor (GCF) of 53427 and 53438 is 11.

GCF(53427,53438) = 11

We will now calculate the prime factors of 53427 and 53438, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53427 and 53438.

How to find the GCF of 53427 and 53438?

We will first find the prime factorization of 53427 and 53438. After we will calculate the factors of 53427 and 53438 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 53438

Prime factors of 53438 are 2, 7, 11, 347. Prime factorization of 53438 in exponential form is:

53438 = 2¹ × 7¹ × 11¹ × 347¹

Step-3: Factors of 53427

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

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

Step-4: Factors of 53438

List of positive integer factors of 53438 that divides 53427 without a remainder.

1, 2, 7, 11, 14, 22, 77, 154, 347, 694, 2429, 3817, 4858, 7634, 26719

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53427 and 53438. The biggest common factor number is the GCF number.
So the greatest common factor 53427 and 53438 is 11.

Also check out the Least Common Multiple of 53427 and 53438