What is the Greatest Common Factor of 46833 and 46844?

Greatest common factor (GCF) of 46833 and 46844 is 1.

GCF(46833,46844) = 1

We will now calculate the prime factors of 46833 and 46844, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46833 and 46844.

How to find the GCF of 46833 and 46844?

We will first find the prime factorization of 46833 and 46844. After we will calculate the factors of 46833 and 46844 and find the biggest common factor number .

Step-1: Prime Factorization of 46833

Prime factors of 46833 are 3, 67, 233. Prime factorization of 46833 in exponential form is:

46833 = 3¹ × 67¹ × 233¹

Step-2: Prime Factorization of 46844

Prime factors of 46844 are 2, 7, 239. Prime factorization of 46844 in exponential form is:

46844 = 2² × 7² × 239¹

Step-3: Factors of 46833

List of positive integer factors of 46833 that divides 46833 without a remainder.

1, 3, 67, 201, 233, 699, 15611

Step-4: Factors of 46844

List of positive integer factors of 46844 that divides 46833 without a remainder.

1, 2, 4, 7, 14, 28, 49, 98, 196, 239, 478, 956, 1673, 3346, 6692, 11711, 23422

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46833 and 46844. The biggest common factor number is the GCF number.
So the greatest common factor 46833 and 46844 is 1.

Also check out the Least Common Multiple of 46833 and 46844