What is the Greatest Common Factor of 46844 and 46859?

Greatest common factor (GCF) of 46844 and 46859 is 1.

GCF(46844,46859) = 1

We will now calculate the prime factors of 46844 and 46859, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46844 and 46859.

How to find the GCF of 46844 and 46859?

We will first find the prime factorization of 46844 and 46859. After we will calculate the factors of 46844 and 46859 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 46859

Prime factors of 46859 are 47, 997. Prime factorization of 46859 in exponential form is:

46859 = 47¹ × 997¹

Step-3: Factors of 46844

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

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

Step-4: Factors of 46859

List of positive integer factors of 46859 that divides 46844 without a remainder.

1, 47, 997

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46844 and 46859. The biggest common factor number is the GCF number.
So the greatest common factor 46844 and 46859 is 1.

Also check out the Least Common Multiple of 46844 and 46859