What is the Greatest Common Factor of 46094 and 46098?

Greatest common factor (GCF) of 46094 and 46098 is 2.

GCF(46094,46098) = 2

We will now calculate the prime factors of 46094 and 46098, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46094 and 46098.

How to find the GCF of 46094 and 46098?

We will first find the prime factorization of 46094 and 46098. After we will calculate the factors of 46094 and 46098 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 46098

Prime factors of 46098 are 2, 3, 13, 197. Prime factorization of 46098 in exponential form is:

46098 = 2¹ × 3² × 13¹ × 197¹

Step-3: Factors of 46094

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

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

Step-4: Factors of 46098

List of positive integer factors of 46098 that divides 46094 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 197, 234, 394, 591, 1182, 1773, 2561, 3546, 5122, 7683, 15366, 23049

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46094 and 46098. The biggest common factor number is the GCF number.
So the greatest common factor 46094 and 46098 is 2.

Also check out the Least Common Multiple of 46094 and 46098