What is the Greatest Common Factor of 46008 and 46023?

Greatest common factor (GCF) of 46008 and 46023 is 3.

GCF(46008,46023) = 3

We will now calculate the prime factors of 46008 and 46023, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46008 and 46023.

How to find the GCF of 46008 and 46023?

We will first find the prime factorization of 46008 and 46023. After we will calculate the factors of 46008 and 46023 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 46023

Prime factors of 46023 are 3, 23, 29. Prime factorization of 46023 in exponential form is:

46023 = 3¹ × 23² × 29¹

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 46023

List of positive integer factors of 46023 that divides 46008 without a remainder.

1, 3, 23, 29, 69, 87, 529, 667, 1587, 2001, 15341

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46008 and 46023. The biggest common factor number is the GCF number.
So the greatest common factor 46008 and 46023 is 3.

Also check out the Least Common Multiple of 46008 and 46023