What is the Greatest Common Factor of 53428 and 53437?

Greatest common factor (GCF) of 53428 and 53437 is 1.

GCF(53428,53437) = 1

We will now calculate the prime factors of 53428 and 53437, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53428 and 53437.

How to find the GCF of 53428 and 53437?

We will first find the prime factorization of 53428 and 53437. After we will calculate the factors of 53428 and 53437 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 53437

Prime factors of 53437 are 53437. Prime factorization of 53437 in exponential form is:

53437 = 53437¹

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 53437

List of positive integer factors of 53437 that divides 53428 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53428 and 53437. The biggest common factor number is the GCF number.
So the greatest common factor 53428 and 53437 is 1.

Also check out the Least Common Multiple of 53428 and 53437