What is the Greatest Common Factor of 46608 and 46616?

Greatest common factor (GCF) of 46608 and 46616 is 8.

GCF(46608,46616) = 8

We will now calculate the prime factors of 46608 and 46616, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46608 and 46616.

How to find the GCF of 46608 and 46616?

We will first find the prime factorization of 46608 and 46616. After we will calculate the factors of 46608 and 46616 and find the biggest common factor number .

Step-1: Prime Factorization of 46608

Prime factors of 46608 are 2, 3, 971. Prime factorization of 46608 in exponential form is:

46608 = 2⁴ × 3¹ × 971¹

Step-2: Prime Factorization of 46616

Prime factors of 46616 are 2, 5827. Prime factorization of 46616 in exponential form is:

46616 = 2³ × 5827¹

Step-3: Factors of 46608

List of positive integer factors of 46608 that divides 46608 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 971, 1942, 2913, 3884, 5826, 7768, 11652, 15536, 23304

Step-4: Factors of 46616

List of positive integer factors of 46616 that divides 46608 without a remainder.

1, 2, 4, 8, 5827, 11654, 23308

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46608 and 46616. The biggest common factor number is the GCF number.
So the greatest common factor 46608 and 46616 is 8.

Also check out the Least Common Multiple of 46608 and 46616