What is the Greatest Common Factor of 46444 and 46462?

Greatest common factor (GCF) of 46444 and 46462 is 2.

GCF(46444,46462) = 2

We will now calculate the prime factors of 46444 and 46462, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46444 and 46462.

How to find the GCF of 46444 and 46462?

We will first find the prime factorization of 46444 and 46462. After we will calculate the factors of 46444 and 46462 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 46462

Prime factors of 46462 are 2, 13, 1787. Prime factorization of 46462 in exponential form is:

46462 = 2¹ × 13¹ × 1787¹

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 46462

List of positive integer factors of 46462 that divides 46444 without a remainder.

1, 2, 13, 26, 1787, 3574, 23231

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46444 and 46462. The biggest common factor number is the GCF number.
So the greatest common factor 46444 and 46462 is 2.

Also check out the Least Common Multiple of 46444 and 46462