What is the Greatest Common Factor of 46428 and 46446?

Greatest common factor (GCF) of 46428 and 46446 is 6.

GCF(46428,46446) = 6

We will now calculate the prime factors of 46428 and 46446, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46428 and 46446.

How to find the GCF of 46428 and 46446?

We will first find the prime factorization of 46428 and 46446. After we will calculate the factors of 46428 and 46446 and find the biggest common factor number .

Step-1: Prime Factorization of 46428

Prime factors of 46428 are 2, 3, 53, 73. Prime factorization of 46428 in exponential form is:

46428 = 2² × 3¹ × 53¹ × 73¹

Step-2: Prime Factorization of 46446

Prime factors of 46446 are 2, 3, 7741. Prime factorization of 46446 in exponential form is:

46446 = 2¹ × 3¹ × 7741¹

Step-3: Factors of 46428

List of positive integer factors of 46428 that divides 46428 without a remainder.

1, 2, 3, 4, 6, 12, 53, 73, 106, 146, 159, 212, 219, 292, 318, 438, 636, 876, 3869, 7738, 11607, 15476, 23214

Step-4: Factors of 46446

List of positive integer factors of 46446 that divides 46428 without a remainder.

1, 2, 3, 6, 7741, 15482, 23223

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46428 and 46446. The biggest common factor number is the GCF number.
So the greatest common factor 46428 and 46446 is 6.

Also check out the Least Common Multiple of 46428 and 46446