What is the Greatest Common Factor of 53408 and 53428?

Greatest common factor (GCF) of 53408 and 53428 is 4.

GCF(53408,53428) = 4

We will now calculate the prime factors of 53408 and 53428, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53408 and 53428.

How to find the GCF of 53408 and 53428?

We will first find the prime factorization of 53408 and 53428. After we will calculate the factors of 53408 and 53428 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 53428

Prime factors of 53428 are 2, 19, 37. Prime factorization of 53428 in exponential form is:

53428 = 2² × 19² × 37¹

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 53428

List of positive integer factors of 53428 that divides 53408 without a remainder.

1, 2, 4, 19, 37, 38, 74, 76, 148, 361, 703, 722, 1406, 1444, 2812, 13357, 26714

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53408 and 53428. The biggest common factor number is the GCF number.
So the greatest common factor 53408 and 53428 is 4.

Also check out the Least Common Multiple of 53408 and 53428