What is the Greatest Common Factor of 49428 and 49446?

Greatest common factor (GCF) of 49428 and 49446 is 18.

GCF(49428,49446) = 18

We will now calculate the prime factors of 49428 and 49446, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49428 and 49446.

How to find the GCF of 49428 and 49446?

We will first find the prime factorization of 49428 and 49446. After we will calculate the factors of 49428 and 49446 and find the biggest common factor number .

Step-1: Prime Factorization of 49428

Prime factors of 49428 are 2, 3, 1373. Prime factorization of 49428 in exponential form is:

49428 = 2² × 3² × 1373¹

Step-2: Prime Factorization of 49446

Prime factors of 49446 are 2, 3, 41, 67. Prime factorization of 49446 in exponential form is:

49446 = 2¹ × 3² × 41¹ × 67¹

Step-3: Factors of 49428

List of positive integer factors of 49428 that divides 49428 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 1373, 2746, 4119, 5492, 8238, 12357, 16476, 24714

Step-4: Factors of 49446

List of positive integer factors of 49446 that divides 49428 without a remainder.

1, 2, 3, 6, 9, 18, 41, 67, 82, 123, 134, 201, 246, 369, 402, 603, 738, 1206, 2747, 5494, 8241, 16482, 24723

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49428 and 49446. The biggest common factor number is the GCF number.
So the greatest common factor 49428 and 49446 is 18.

Also check out the Least Common Multiple of 49428 and 49446