What is the Greatest Common Factor of 46814 and 46828?

Greatest common factor (GCF) of 46814 and 46828 is 2.

GCF(46814,46828) = 2

We will now calculate the prime factors of 46814 and 46828, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46814 and 46828.

How to find the GCF of 46814 and 46828?

We will first find the prime factorization of 46814 and 46828. After we will calculate the factors of 46814 and 46828 and find the biggest common factor number .

Step-1: Prime Factorization of 46814

Prime factors of 46814 are 2, 89, 263. Prime factorization of 46814 in exponential form is:

46814 = 2¹ × 89¹ × 263¹

Step-2: Prime Factorization of 46828

Prime factors of 46828 are 2, 23, 509. Prime factorization of 46828 in exponential form is:

46828 = 2² × 23¹ × 509¹

Step-3: Factors of 46814

List of positive integer factors of 46814 that divides 46814 without a remainder.

1, 2, 89, 178, 263, 526, 23407

Step-4: Factors of 46828

List of positive integer factors of 46828 that divides 46814 without a remainder.

1, 2, 4, 23, 46, 92, 509, 1018, 2036, 11707, 23414

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46814 and 46828. The biggest common factor number is the GCF number.
So the greatest common factor 46814 and 46828 is 2.

Also check out the Least Common Multiple of 46814 and 46828