What is the Greatest Common Factor of 46008 and 46025?

Greatest common factor (GCF) of 46008 and 46025 is 1.

GCF(46008,46025) = 1

We will now calculate the prime factors of 46008 and 46025, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46008 and 46025.

How to find the GCF of 46008 and 46025?

We will first find the prime factorization of 46008 and 46025. After we will calculate the factors of 46008 and 46025 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 46025

Prime factors of 46025 are 5, 7, 263. Prime factorization of 46025 in exponential form is:

46025 = 5² × 7¹ × 263¹

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 46025

List of positive integer factors of 46025 that divides 46008 without a remainder.

1, 5, 7, 25, 35, 175, 263, 1315, 1841, 6575, 9205

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46008 and 46025. The biggest common factor number is the GCF number.
So the greatest common factor 46008 and 46025 is 1.

Also check out the Least Common Multiple of 46008 and 46025