What is the Greatest Common Factor of 53428 and 53440?

Greatest common factor (GCF) of 53428 and 53440 is 4.

GCF(53428,53440) = 4

We will now calculate the prime factors of 53428 and 53440, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53428 and 53440.

How to find the GCF of 53428 and 53440?

We will first find the prime factorization of 53428 and 53440. After we will calculate the factors of 53428 and 53440 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 53440

Prime factors of 53440 are 2, 5, 167. Prime factorization of 53440 in exponential form is:

53440 = 2⁶ × 5¹ × 167¹

Step-3: Factors of 53428

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

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

Step-4: Factors of 53440

List of positive integer factors of 53440 that divides 53428 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 167, 320, 334, 668, 835, 1336, 1670, 2672, 3340, 5344, 6680, 10688, 13360, 26720

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53428 and 53440. The biggest common factor number is the GCF number.
So the greatest common factor 53428 and 53440 is 4.

Also check out the Least Common Multiple of 53428 and 53440