What is the Greatest Common Factor of 53408 and 53414?

Greatest common factor (GCF) of 53408 and 53414 is 2.

GCF(53408,53414) = 2

We will now calculate the prime factors of 53408 and 53414, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53408 and 53414.

How to find the GCF of 53408 and 53414?

We will first find the prime factorization of 53408 and 53414. After we will calculate the factors of 53408 and 53414 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 53414

Prime factors of 53414 are 2, 17, 1571. Prime factorization of 53414 in exponential form is:

53414 = 2¹ × 17¹ × 1571¹

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 53414

List of positive integer factors of 53414 that divides 53408 without a remainder.

1, 2, 17, 34, 1571, 3142, 26707

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53408 and 53414. The biggest common factor number is the GCF number.
So the greatest common factor 53408 and 53414 is 2.

Also check out the Least Common Multiple of 53408 and 53414