What is the Greatest Common Factor of 53408 and 53413?

Greatest common factor (GCF) of 53408 and 53413 is 1.

GCF(53408,53413) = 1

We will now calculate the prime factors of 53408 and 53413, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53408 and 53413.

How to find the GCF of 53408 and 53413?

We will first find the prime factorization of 53408 and 53413. After we will calculate the factors of 53408 and 53413 and find the biggest common factor number .

Step-1: Prime Factorization of 53408

Prime factors of 53408 are 2, 1669. Prime factorization of 53408 in exponential form is:

53408 = 2⁵ × 1669¹

Step-2: Prime Factorization of 53413

Prime factors of 53413 are 31, 1723. Prime factorization of 53413 in exponential form is:

53413 = 31¹ × 1723¹

Step-3: Factors of 53408

List of positive integer factors of 53408 that divides 53408 without a remainder.

1, 2, 4, 8, 16, 32, 1669, 3338, 6676, 13352, 26704

Step-4: Factors of 53413

List of positive integer factors of 53413 that divides 53408 without a remainder.

1, 31, 1723

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53408 and 53413. The biggest common factor number is the GCF number.
So the greatest common factor 53408 and 53413 is 1.

Also check out the Least Common Multiple of 53408 and 53413