What is the Greatest Common Factor of 46448 and 46452?

Greatest common factor (GCF) of 46448 and 46452 is 4.

GCF(46448,46452) = 4

We will now calculate the prime factors of 46448 and 46452, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46448 and 46452.

How to find the GCF of 46448 and 46452?

We will first find the prime factorization of 46448 and 46452. After we will calculate the factors of 46448 and 46452 and find the biggest common factor number .

Step-1: Prime Factorization of 46448

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

46448 = 2⁴ × 2903¹

Step-2: Prime Factorization of 46452

Prime factors of 46452 are 2, 3, 7, 79. Prime factorization of 46452 in exponential form is:

46452 = 2² × 3¹ × 7² × 79¹

Step-3: Factors of 46448

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

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

Step-4: Factors of 46452

List of positive integer factors of 46452 that divides 46448 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 79, 84, 98, 147, 158, 196, 237, 294, 316, 474, 553, 588, 948, 1106, 1659, 2212, 3318, 3871, 6636, 7742, 11613, 15484, 23226

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46448 and 46452. The biggest common factor number is the GCF number.
So the greatest common factor 46448 and 46452 is 4.

Also check out the Least Common Multiple of 46448 and 46452