What is the Greatest Common Factor of 53521 and 53533?

Greatest common factor (GCF) of 53521 and 53533 is 1.

GCF(53521,53533) = 1

We will now calculate the prime factors of 53521 and 53533, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53521 and 53533.

How to find the GCF of 53521 and 53533?

We will first find the prime factorization of 53521 and 53533. After we will calculate the factors of 53521 and 53533 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 53533

Prime factors of 53533 are 17, 47, 67. Prime factorization of 53533 in exponential form is:

53533 = 17¹ × 47¹ × 67¹

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 53533

List of positive integer factors of 53533 that divides 53521 without a remainder.

1, 17, 47, 67, 799, 1139, 3149

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53521 and 53533. The biggest common factor number is the GCF number.
So the greatest common factor 53521 and 53533 is 1.

Also check out the Least Common Multiple of 53521 and 53533