What is the Greatest Common Factor of 46350 and 46364?

Greatest common factor (GCF) of 46350 and 46364 is 2.

GCF(46350,46364) = 2

We will now calculate the prime factors of 46350 and 46364, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46350 and 46364.

How to find the GCF of 46350 and 46364?

We will first find the prime factorization of 46350 and 46364. After we will calculate the factors of 46350 and 46364 and find the biggest common factor number .

Step-1: Prime Factorization of 46350

Prime factors of 46350 are 2, 3, 5, 103. Prime factorization of 46350 in exponential form is:

46350 = 2¹ × 3² × 5² × 103¹

Step-2: Prime Factorization of 46364

Prime factors of 46364 are 2, 67, 173. Prime factorization of 46364 in exponential form is:

46364 = 2² × 67¹ × 173¹

Step-3: Factors of 46350

List of positive integer factors of 46350 that divides 46350 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 103, 150, 206, 225, 309, 450, 515, 618, 927, 1030, 1545, 1854, 2575, 3090, 4635, 5150, 7725, 9270, 15450, 23175

Step-4: Factors of 46364

List of positive integer factors of 46364 that divides 46350 without a remainder.

1, 2, 4, 67, 134, 173, 268, 346, 692, 11591, 23182

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46350 and 46364. The biggest common factor number is the GCF number.
So the greatest common factor 46350 and 46364 is 2.

Also check out the Least Common Multiple of 46350 and 46364