What is the Greatest Common Factor of 46436 and 46444?

Greatest common factor (GCF) of 46436 and 46444 is 4.

GCF(46436,46444) = 4

We will now calculate the prime factors of 46436 and 46444, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46436 and 46444.

How to find the GCF of 46436 and 46444?

We will first find the prime factorization of 46436 and 46444. After we will calculate the factors of 46436 and 46444 and find the biggest common factor number .

Step-1: Prime Factorization of 46436

Prime factors of 46436 are 2, 13, 19, 47. Prime factorization of 46436 in exponential form is:

46436 = 2² × 13¹ × 19¹ × 47¹

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 46436

List of positive integer factors of 46436 that divides 46436 without a remainder.

1, 2, 4, 13, 19, 26, 38, 47, 52, 76, 94, 188, 247, 494, 611, 893, 988, 1222, 1786, 2444, 3572, 11609, 23218

Step-4: Factors of 46444

List of positive integer factors of 46444 that divides 46436 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 46436 and 46444. The biggest common factor number is the GCF number.
So the greatest common factor 46436 and 46444 is 4.

Also check out the Least Common Multiple of 46436 and 46444