What is the Greatest Common Factor of 53521 and 53529?

Greatest common factor (GCF) of 53521 and 53529 is 1.

GCF(53521,53529) = 1

We will now calculate the prime factors of 53521 and 53529, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53521 and 53529.

How to find the GCF of 53521 and 53529?

We will first find the prime factorization of 53521 and 53529. After we will calculate the factors of 53521 and 53529 and find the biggest common factor number .

Step-1: Prime Factorization of 53521

Prime factors of 53521 are 13, 23, 179. Prime factorization of 53521 in exponential form is:

53521 = 13¹ × 23¹ × 179¹

Step-2: Prime Factorization of 53529

Prime factors of 53529 are 3, 7, 2549. Prime factorization of 53529 in exponential form is:

53529 = 3¹ × 7¹ × 2549¹

Step-3: Factors of 53521

List of positive integer factors of 53521 that divides 53521 without a remainder.

1, 13, 23, 179, 299, 2327, 4117

Step-4: Factors of 53529

List of positive integer factors of 53529 that divides 53521 without a remainder.

1, 3, 7, 21, 2549, 7647, 17843

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53521 and 53529. The biggest common factor number is the GCF number.
So the greatest common factor 53521 and 53529 is 1.

Also check out the Least Common Multiple of 53521 and 53529