What is the Greatest Common Factor of 46096 and 46100?

Greatest common factor (GCF) of 46096 and 46100 is 4.

GCF(46096,46100) = 4

We will now calculate the prime factors of 46096 and 46100, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46096 and 46100.

How to find the GCF of 46096 and 46100?

We will first find the prime factorization of 46096 and 46100. After we will calculate the factors of 46096 and 46100 and find the biggest common factor number .

Step-1: Prime Factorization of 46096

Prime factors of 46096 are 2, 43, 67. Prime factorization of 46096 in exponential form is:

46096 = 2⁴ × 43¹ × 67¹

Step-2: Prime Factorization of 46100

Prime factors of 46100 are 2, 5, 461. Prime factorization of 46100 in exponential form is:

46100 = 2² × 5² × 461¹

Step-3: Factors of 46096

List of positive integer factors of 46096 that divides 46096 without a remainder.

1, 2, 4, 8, 16, 43, 67, 86, 134, 172, 268, 344, 536, 688, 1072, 2881, 5762, 11524, 23048

Step-4: Factors of 46100

List of positive integer factors of 46100 that divides 46096 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 461, 922, 1844, 2305, 4610, 9220, 11525, 23050

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46096 and 46100. The biggest common factor number is the GCF number.
So the greatest common factor 46096 and 46100 is 4.

Also check out the Least Common Multiple of 46096 and 46100