What is the Greatest Common Factor of 46008 and 46024?

Greatest common factor (GCF) of 46008 and 46024 is 8.

GCF(46008,46024) = 8

We will now calculate the prime factors of 46008 and 46024, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46008 and 46024.

How to find the GCF of 46008 and 46024?

We will first find the prime factorization of 46008 and 46024. After we will calculate the factors of 46008 and 46024 and find the biggest common factor number .

Step-1: Prime Factorization of 46008

Prime factors of 46008 are 2, 3, 71. Prime factorization of 46008 in exponential form is:

46008 = 2³ × 3⁴ × 71¹

Step-2: Prime Factorization of 46024

Prime factors of 46024 are 2, 11, 523. Prime factorization of 46024 in exponential form is:

46024 = 2³ × 11¹ × 523¹

Step-3: Factors of 46008

List of positive integer factors of 46008 that divides 46008 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 71, 72, 81, 108, 142, 162, 213, 216, 284, 324, 426, 568, 639, 648, 852, 1278, 1704, 1917, 2556, 3834, 5112, 5751, 7668, 11502, 15336, 23004

Step-4: Factors of 46024

List of positive integer factors of 46024 that divides 46008 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 523, 1046, 2092, 4184, 5753, 11506, 23012

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46008 and 46024. The biggest common factor number is the GCF number.
So the greatest common factor 46008 and 46024 is 8.

Also check out the Least Common Multiple of 46008 and 46024