What is the Greatest Common Factor of 68744 and 68762?

Greatest common factor (GCF) of 68744 and 68762 is 2.

GCF(68744,68762) = 2

We will now calculate the prime factors of 68744 and 68762, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68744 and 68762.

How to find the GCF of 68744 and 68762?

We will first find the prime factorization of 68744 and 68762. After we will calculate the factors of 68744 and 68762 and find the biggest common factor number .

Step-1: Prime Factorization of 68744

Prime factors of 68744 are 2, 13, 661. Prime factorization of 68744 in exponential form is:

68744 = 2³ × 13¹ × 661¹

Step-2: Prime Factorization of 68762

Prime factors of 68762 are 2, 34381. Prime factorization of 68762 in exponential form is:

68762 = 2¹ × 34381¹

Step-3: Factors of 68744

List of positive integer factors of 68744 that divides 68744 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104, 661, 1322, 2644, 5288, 8593, 17186, 34372

Step-4: Factors of 68762

List of positive integer factors of 68762 that divides 68744 without a remainder.

1, 2, 34381

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68744 and 68762. The biggest common factor number is the GCF number.
So the greatest common factor 68744 and 68762 is 2.

Also check out the Least Common Multiple of 68744 and 68762