What is the Greatest Common Factor of 46608 and 46624?

Greatest common factor (GCF) of 46608 and 46624 is 16.

GCF(46608,46624) = 16

We will now calculate the prime factors of 46608 and 46624, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46608 and 46624.

How to find the GCF of 46608 and 46624?

We will first find the prime factorization of 46608 and 46624. After we will calculate the factors of 46608 and 46624 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 46624

Prime factors of 46624 are 2, 31, 47. Prime factorization of 46624 in exponential form is:

46624 = 2⁵ × 31¹ × 47¹

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 46624

List of positive integer factors of 46624 that divides 46608 without a remainder.

1, 2, 4, 8, 16, 31, 32, 47, 62, 94, 124, 188, 248, 376, 496, 752, 992, 1457, 1504, 2914, 5828, 11656, 23312

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46608 and 46624. The biggest common factor number is the GCF number.
So the greatest common factor 46608 and 46624 is 16.

Also check out the Least Common Multiple of 46608 and 46624