What is the Greatest Common Factor of 46437 and 46452?

Greatest common factor (GCF) of 46437 and 46452 is 3.

GCF(46437,46452) = 3

We will now calculate the prime factors of 46437 and 46452, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46437 and 46452.

How to find the GCF of 46437 and 46452?

We will first find the prime factorization of 46437 and 46452. After we will calculate the factors of 46437 and 46452 and find the biggest common factor number .

Step-1: Prime Factorization of 46437

Prime factors of 46437 are 3, 23, 673. Prime factorization of 46437 in exponential form is:

46437 = 3¹ × 23¹ × 673¹

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 46437

List of positive integer factors of 46437 that divides 46437 without a remainder.

1, 3, 23, 69, 673, 2019, 15479

Step-4: Factors of 46452

List of positive integer factors of 46452 that divides 46437 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 46437 and 46452. The biggest common factor number is the GCF number.
So the greatest common factor 46437 and 46452 is 3.

Also check out the Least Common Multiple of 46437 and 46452