What is the Greatest Common Factor of 46432 and 46444?

Greatest common factor (GCF) of 46432 and 46444 is 4.

GCF(46432,46444) = 4

We will now calculate the prime factors of 46432 and 46444, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46432 and 46444.

How to find the GCF of 46432 and 46444?

We will first find the prime factorization of 46432 and 46444. After we will calculate the factors of 46432 and 46444 and find the biggest common factor number .

Step-1: Prime Factorization of 46432

Prime factors of 46432 are 2, 1451. Prime factorization of 46432 in exponential form is:

46432 = 2⁵ × 1451¹

Step-2: Prime Factorization of 46444

Prime factors of 46444 are 2, 17, 683. Prime factorization of 46444 in exponential form is:

46444 = 2² × 17¹ × 683¹

Step-3: Factors of 46432

List of positive integer factors of 46432 that divides 46432 without a remainder.

1, 2, 4, 8, 16, 32, 1451, 2902, 5804, 11608, 23216

Step-4: Factors of 46444

List of positive integer factors of 46444 that divides 46432 without a remainder.

1, 2, 4, 17, 34, 68, 683, 1366, 2732, 11611, 23222

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46432 and 46444. The biggest common factor number is the GCF number.
So the greatest common factor 46432 and 46444 is 4.

Also check out the Least Common Multiple of 46432 and 46444