What is the Greatest Common Factor of 44742 and 44754?

Greatest common factor (GCF) of 44742 and 44754 is 6.

GCF(44742,44754) = 6

We will now calculate the prime factors of 44742 and 44754, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44742 and 44754.

How to find the GCF of 44742 and 44754?

We will first find the prime factorization of 44742 and 44754. After we will calculate the factors of 44742 and 44754 and find the biggest common factor number .

Step-1: Prime Factorization of 44742

Prime factors of 44742 are 2, 3, 7457. Prime factorization of 44742 in exponential form is:

44742 = 2¹ × 3¹ × 7457¹

Step-2: Prime Factorization of 44754

Prime factors of 44754 are 2, 3, 7459. Prime factorization of 44754 in exponential form is:

44754 = 2¹ × 3¹ × 7459¹

Step-3: Factors of 44742

List of positive integer factors of 44742 that divides 44742 without a remainder.

1, 2, 3, 6, 7457, 14914, 22371

Step-4: Factors of 44754

List of positive integer factors of 44754 that divides 44742 without a remainder.

1, 2, 3, 6, 7459, 14918, 22377

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44742 and 44754. The biggest common factor number is the GCF number.
So the greatest common factor 44742 and 44754 is 6.

Also check out the Least Common Multiple of 44742 and 44754