What is the Greatest Common Factor of 53534 and 53547?

Greatest common factor (GCF) of 53534 and 53547 is 13.

GCF(53534,53547) = 13

We will now calculate the prime factors of 53534 and 53547, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53534 and 53547.

How to find the GCF of 53534 and 53547?

We will first find the prime factorization of 53534 and 53547. After we will calculate the factors of 53534 and 53547 and find the biggest common factor number .

Step-1: Prime Factorization of 53534

Prime factors of 53534 are 2, 13, 29, 71. Prime factorization of 53534 in exponential form is:

53534 = 2¹ × 13¹ × 29¹ × 71¹

Step-2: Prime Factorization of 53547

Prime factors of 53547 are 3, 13, 1373. Prime factorization of 53547 in exponential form is:

53547 = 3¹ × 13¹ × 1373¹

Step-3: Factors of 53534

List of positive integer factors of 53534 that divides 53534 without a remainder.

1, 2, 13, 26, 29, 58, 71, 142, 377, 754, 923, 1846, 2059, 4118, 26767

Step-4: Factors of 53547

List of positive integer factors of 53547 that divides 53534 without a remainder.

1, 3, 13, 39, 1373, 4119, 17849

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53534 and 53547. The biggest common factor number is the GCF number.
So the greatest common factor 53534 and 53547 is 13.

Also check out the Least Common Multiple of 53534 and 53547