What is the Greatest Common Factor of 46075 and 46094?

Greatest common factor (GCF) of 46075 and 46094 is 19.

GCF(46075,46094) = 19

We will now calculate the prime factors of 46075 and 46094, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46075 and 46094.

How to find the GCF of 46075 and 46094?

We will first find the prime factorization of 46075 and 46094. After we will calculate the factors of 46075 and 46094 and find the biggest common factor number .

Step-1: Prime Factorization of 46075

Prime factors of 46075 are 5, 19, 97. Prime factorization of 46075 in exponential form is:

46075 = 5² × 19¹ × 97¹

Step-2: Prime Factorization of 46094

Prime factors of 46094 are 2, 19, 1213. Prime factorization of 46094 in exponential form is:

46094 = 2¹ × 19¹ × 1213¹

Step-3: Factors of 46075

List of positive integer factors of 46075 that divides 46075 without a remainder.

1, 5, 19, 25, 95, 97, 475, 485, 1843, 2425, 9215

Step-4: Factors of 46094

List of positive integer factors of 46094 that divides 46075 without a remainder.

1, 2, 19, 38, 1213, 2426, 23047

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46075 and 46094. The biggest common factor number is the GCF number.
So the greatest common factor 46075 and 46094 is 19.

Also check out the Least Common Multiple of 46075 and 46094