What is the Greatest Common Factor of 46344 and 46352?

Greatest common factor (GCF) of 46344 and 46352 is 8.

GCF(46344,46352) = 8

We will now calculate the prime factors of 46344 and 46352, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46344 and 46352.

How to find the GCF of 46344 and 46352?

We will first find the prime factorization of 46344 and 46352. After we will calculate the factors of 46344 and 46352 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 46352

Prime factors of 46352 are 2, 2897. Prime factorization of 46352 in exponential form is:

46352 = 2⁴ × 2897¹

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 46352

List of positive integer factors of 46352 that divides 46344 without a remainder.

1, 2, 4, 8, 16, 2897, 5794, 11588, 23176

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46344 and 46352. The biggest common factor number is the GCF number.
So the greatest common factor 46344 and 46352 is 8.

Also check out the Least Common Multiple of 46344 and 46352