What is the Greatest Common Factor of 46814 and 46832?

Greatest common factor (GCF) of 46814 and 46832 is 2.

GCF(46814,46832) = 2

We will now calculate the prime factors of 46814 and 46832, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46814 and 46832.

How to find the GCF of 46814 and 46832?

We will first find the prime factorization of 46814 and 46832. After we will calculate the factors of 46814 and 46832 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 46832

Prime factors of 46832 are 2, 2927. Prime factorization of 46832 in exponential form is:

46832 = 2⁴ × 2927¹

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 46832

List of positive integer factors of 46832 that divides 46814 without a remainder.

1, 2, 4, 8, 16, 2927, 5854, 11708, 23416

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46814 and 46832. The biggest common factor number is the GCF number.
So the greatest common factor 46814 and 46832 is 2.

Also check out the Least Common Multiple of 46814 and 46832