What is the Greatest Common Factor of 46436 and 46450?

Greatest common factor (GCF) of 46436 and 46450 is 2.

GCF(46436,46450) = 2

We will now calculate the prime factors of 46436 and 46450, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46436 and 46450.

How to find the GCF of 46436 and 46450?

We will first find the prime factorization of 46436 and 46450. After we will calculate the factors of 46436 and 46450 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 46450

Prime factors of 46450 are 2, 5, 929. Prime factorization of 46450 in exponential form is:

46450 = 2¹ × 5² × 929¹

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 46450

List of positive integer factors of 46450 that divides 46436 without a remainder.

1, 2, 5, 10, 25, 50, 929, 1858, 4645, 9290, 23225

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46436 and 46450. The biggest common factor number is the GCF number.
So the greatest common factor 46436 and 46450 is 2.

Also check out the Least Common Multiple of 46436 and 46450