What is the Greatest Common Factor of 44742 and 44746?

Greatest common factor (GCF) of 44742 and 44746 is 2.

GCF(44742,44746) = 2

We will now calculate the prime factors of 44742 and 44746, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44742 and 44746.

How to find the GCF of 44742 and 44746?

We will first find the prime factorization of 44742 and 44746. After we will calculate the factors of 44742 and 44746 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 44746

Prime factors of 44746 are 2, 13, 1721. Prime factorization of 44746 in exponential form is:

44746 = 2¹ × 13¹ × 1721¹

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 44746

List of positive integer factors of 44746 that divides 44742 without a remainder.

1, 2, 13, 26, 1721, 3442, 22373

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44742 and 44746. The biggest common factor number is the GCF number.
So the greatest common factor 44742 and 44746 is 2.

Also check out the Least Common Multiple of 44742 and 44746