What is the Greatest Common Factor of 46225 and 46236?

Greatest common factor (GCF) of 46225 and 46236 is 1.

GCF(46225,46236) = 1

We will now calculate the prime factors of 46225 and 46236, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46225 and 46236.

How to find the GCF of 46225 and 46236?

We will first find the prime factorization of 46225 and 46236. After we will calculate the factors of 46225 and 46236 and find the biggest common factor number .

Step-1: Prime Factorization of 46225

Prime factors of 46225 are 5, 43. Prime factorization of 46225 in exponential form is:

46225 = 5² × 43²

Step-2: Prime Factorization of 46236

Prime factors of 46236 are 2, 3, 3853. Prime factorization of 46236 in exponential form is:

46236 = 2² × 3¹ × 3853¹

Step-3: Factors of 46225

List of positive integer factors of 46225 that divides 46225 without a remainder.

1, 5, 25, 43, 215, 1075, 1849, 9245

Step-4: Factors of 46236

List of positive integer factors of 46236 that divides 46225 without a remainder.

1, 2, 3, 4, 6, 12, 3853, 7706, 11559, 15412, 23118

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46225 and 46236. The biggest common factor number is the GCF number.
So the greatest common factor 46225 and 46236 is 1.

Also check out the Least Common Multiple of 46225 and 46236