What is the Greatest Common Factor of 46414 and 46426?

Greatest common factor (GCF) of 46414 and 46426 is 2.

GCF(46414,46426) = 2

We will now calculate the prime factors of 46414 and 46426, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46414 and 46426.

How to find the GCF of 46414 and 46426?

We will first find the prime factorization of 46414 and 46426. After we will calculate the factors of 46414 and 46426 and find the biggest common factor number .

Step-1: Prime Factorization of 46414

Prime factors of 46414 are 2, 23, 1009. Prime factorization of 46414 in exponential form is:

46414 = 2¹ × 23¹ × 1009¹

Step-2: Prime Factorization of 46426

Prime factors of 46426 are 2, 139, 167. Prime factorization of 46426 in exponential form is:

46426 = 2¹ × 139¹ × 167¹

Step-3: Factors of 46414

List of positive integer factors of 46414 that divides 46414 without a remainder.

1, 2, 23, 46, 1009, 2018, 23207

Step-4: Factors of 46426

List of positive integer factors of 46426 that divides 46414 without a remainder.

1, 2, 139, 167, 278, 334, 23213

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46414 and 46426. The biggest common factor number is the GCF number.
So the greatest common factor 46414 and 46426 is 2.

Also check out the Least Common Multiple of 46414 and 46426