What is the Greatest Common Factor of 46428 and 46448?

Greatest common factor (GCF) of 46428 and 46448 is 4.

GCF(46428,46448) = 4

We will now calculate the prime factors of 46428 and 46448, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46428 and 46448.

How to find the GCF of 46428 and 46448?

We will first find the prime factorization of 46428 and 46448. After we will calculate the factors of 46428 and 46448 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 46448

Prime factors of 46448 are 2, 2903. Prime factorization of 46448 in exponential form is:

46448 = 2⁴ × 2903¹

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 46448

List of positive integer factors of 46448 that divides 46428 without a remainder.

1, 2, 4, 8, 16, 2903, 5806, 11612, 23224

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46428 and 46448. The biggest common factor number is the GCF number.
So the greatest common factor 46428 and 46448 is 4.

Also check out the Least Common Multiple of 46428 and 46448