What is the Greatest Common Factor of 46444 and 46461?

Greatest common factor (GCF) of 46444 and 46461 is 17.

GCF(46444,46461) = 17

We will now calculate the prime factors of 46444 and 46461, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46444 and 46461.

How to find the GCF of 46444 and 46461?

We will first find the prime factorization of 46444 and 46461. After we will calculate the factors of 46444 and 46461 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 46461

Prime factors of 46461 are 3, 17, 911. Prime factorization of 46461 in exponential form is:

46461 = 3¹ × 17¹ × 911¹

Step-3: Factors of 46444

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

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

Step-4: Factors of 46461

List of positive integer factors of 46461 that divides 46444 without a remainder.

1, 3, 17, 51, 911, 2733, 15487

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46444 and 46461. The biggest common factor number is the GCF number.
So the greatest common factor 46444 and 46461 is 17.

Also check out the Least Common Multiple of 46444 and 46461