What is the Greatest Common Factor of 55744 and 55762?

Greatest common factor (GCF) of 55744 and 55762 is 2.

GCF(55744,55762) = 2

We will now calculate the prime factors of 55744 and 55762, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55744 and 55762.

How to find the GCF of 55744 and 55762?

We will first find the prime factorization of 55744 and 55762. After we will calculate the factors of 55744 and 55762 and find the biggest common factor number .

Step-1: Prime Factorization of 55744

Prime factors of 55744 are 2, 13, 67. Prime factorization of 55744 in exponential form is:

55744 = 2⁶ × 13¹ × 67¹

Step-2: Prime Factorization of 55762

Prime factors of 55762 are 2, 7, 569. Prime factorization of 55762 in exponential form is:

55762 = 2¹ × 7² × 569¹

Step-3: Factors of 55744

List of positive integer factors of 55744 that divides 55744 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 67, 104, 134, 208, 268, 416, 536, 832, 871, 1072, 1742, 2144, 3484, 4288, 6968, 13936, 27872

Step-4: Factors of 55762

List of positive integer factors of 55762 that divides 55744 without a remainder.

1, 2, 7, 14, 49, 98, 569, 1138, 3983, 7966, 27881

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55744 and 55762. The biggest common factor number is the GCF number.
So the greatest common factor 55744 and 55762 is 2.

Also check out the Least Common Multiple of 55744 and 55762