What is the Greatest Common Factor of 46054 and 46070?

Greatest common factor (GCF) of 46054 and 46070 is 2.

GCF(46054,46070) = 2

We will now calculate the prime factors of 46054 and 46070, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46054 and 46070.

How to find the GCF of 46054 and 46070?

We will first find the prime factorization of 46054 and 46070. After we will calculate the factors of 46054 and 46070 and find the biggest common factor number .

Step-1: Prime Factorization of 46054

Prime factors of 46054 are 2, 23027. Prime factorization of 46054 in exponential form is:

46054 = 2¹ × 23027¹

Step-2: Prime Factorization of 46070

Prime factors of 46070 are 2, 5, 17, 271. Prime factorization of 46070 in exponential form is:

46070 = 2¹ × 5¹ × 17¹ × 271¹

Step-3: Factors of 46054

List of positive integer factors of 46054 that divides 46054 without a remainder.

1, 2, 23027

Step-4: Factors of 46070

List of positive integer factors of 46070 that divides 46054 without a remainder.

1, 2, 5, 10, 17, 34, 85, 170, 271, 542, 1355, 2710, 4607, 9214, 23035

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46054 and 46070. The biggest common factor number is the GCF number.
So the greatest common factor 46054 and 46070 is 2.

Also check out the Least Common Multiple of 46054 and 46070