What is the Greatest Common Factor of 46380 and 46392?

Greatest common factor (GCF) of 46380 and 46392 is 12.

GCF(46380,46392) = 12

We will now calculate the prime factors of 46380 and 46392, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46380 and 46392.

How to find the GCF of 46380 and 46392?

We will first find the prime factorization of 46380 and 46392. After we will calculate the factors of 46380 and 46392 and find the biggest common factor number .

Step-1: Prime Factorization of 46380

Prime factors of 46380 are 2, 3, 5, 773. Prime factorization of 46380 in exponential form is:

46380 = 2² × 3¹ × 5¹ × 773¹

Step-2: Prime Factorization of 46392

Prime factors of 46392 are 2, 3, 1933. Prime factorization of 46392 in exponential form is:

46392 = 2³ × 3¹ × 1933¹

Step-3: Factors of 46380

List of positive integer factors of 46380 that divides 46380 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 773, 1546, 2319, 3092, 3865, 4638, 7730, 9276, 11595, 15460, 23190

Step-4: Factors of 46392

List of positive integer factors of 46392 that divides 46380 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 1933, 3866, 5799, 7732, 11598, 15464, 23196

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46380 and 46392. The biggest common factor number is the GCF number.
So the greatest common factor 46380 and 46392 is 12.

Also check out the Least Common Multiple of 46380 and 46392