What is the Greatest Common Factor of 46344 and 46362?

Greatest common factor (GCF) of 46344 and 46362 is 6.

GCF(46344,46362) = 6

We will now calculate the prime factors of 46344 and 46362, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46344 and 46362.

How to find the GCF of 46344 and 46362?

We will first find the prime factorization of 46344 and 46362. After we will calculate the factors of 46344 and 46362 and find the biggest common factor number .

Step-1: Prime Factorization of 46344

Prime factors of 46344 are 2, 3, 1931. Prime factorization of 46344 in exponential form is:

46344 = 2³ × 3¹ × 1931¹

Step-2: Prime Factorization of 46362

Prime factors of 46362 are 2, 3, 7727. Prime factorization of 46362 in exponential form is:

46362 = 2¹ × 3¹ × 7727¹

Step-3: Factors of 46344

List of positive integer factors of 46344 that divides 46344 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 1931, 3862, 5793, 7724, 11586, 15448, 23172

Step-4: Factors of 46362

List of positive integer factors of 46362 that divides 46344 without a remainder.

1, 2, 3, 6, 7727, 15454, 23181

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46344 and 46362. The biggest common factor number is the GCF number.
So the greatest common factor 46344 and 46362 is 6.

Also check out the Least Common Multiple of 46344 and 46362