What is the Greatest Common Factor of 74744 and 74762?

Greatest common factor (GCF) of 74744 and 74762 is 2.

GCF(74744,74762) = 2

We will now calculate the prime factors of 74744 and 74762, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74744 and 74762.

How to find the GCF of 74744 and 74762?

We will first find the prime factorization of 74744 and 74762. After we will calculate the factors of 74744 and 74762 and find the biggest common factor number .

Step-1: Prime Factorization of 74744

Prime factors of 74744 are 2, 9343. Prime factorization of 74744 in exponential form is:

74744 = 2³ × 9343¹

Step-2: Prime Factorization of 74762

Prime factors of 74762 are 2, 29, 1289. Prime factorization of 74762 in exponential form is:

74762 = 2¹ × 29¹ × 1289¹

Step-3: Factors of 74744

List of positive integer factors of 74744 that divides 74744 without a remainder.

1, 2, 4, 8, 9343, 18686, 37372

Step-4: Factors of 74762

List of positive integer factors of 74762 that divides 74744 without a remainder.

1, 2, 29, 58, 1289, 2578, 37381

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74744 and 74762. The biggest common factor number is the GCF number.
So the greatest common factor 74744 and 74762 is 2.

Also check out the Least Common Multiple of 74744 and 74762