What is the Greatest Common Factor of 53748 and 53762?

Greatest common factor (GCF) of 53748 and 53762 is 2.

GCF(53748,53762) = 2

We will now calculate the prime factors of 53748 and 53762, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53748 and 53762.

How to find the GCF of 53748 and 53762?

We will first find the prime factorization of 53748 and 53762. After we will calculate the factors of 53748 and 53762 and find the biggest common factor number .

Step-1: Prime Factorization of 53748

Prime factors of 53748 are 2, 3, 1493. Prime factorization of 53748 in exponential form is:

53748 = 2² × 3² × 1493¹

Step-2: Prime Factorization of 53762

Prime factors of 53762 are 2, 26881. Prime factorization of 53762 in exponential form is:

53762 = 2¹ × 26881¹

Step-3: Factors of 53748

List of positive integer factors of 53748 that divides 53748 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 1493, 2986, 4479, 5972, 8958, 13437, 17916, 26874

Step-4: Factors of 53762

List of positive integer factors of 53762 that divides 53748 without a remainder.

1, 2, 26881

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53748 and 53762. The biggest common factor number is the GCF number.
So the greatest common factor 53748 and 53762 is 2.

Also check out the Least Common Multiple of 53748 and 53762