What is the Greatest Common Factor of 46820 and 46826?

Greatest common factor (GCF) of 46820 and 46826 is 2.

GCF(46820,46826) = 2

We will now calculate the prime factors of 46820 and 46826, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46820 and 46826.

How to find the GCF of 46820 and 46826?

We will first find the prime factorization of 46820 and 46826. After we will calculate the factors of 46820 and 46826 and find the biggest common factor number .

Step-1: Prime Factorization of 46820

Prime factors of 46820 are 2, 5, 2341. Prime factorization of 46820 in exponential form is:

46820 = 2² × 5¹ × 2341¹

Step-2: Prime Factorization of 46826

Prime factors of 46826 are 2, 13, 1801. Prime factorization of 46826 in exponential form is:

46826 = 2¹ × 13¹ × 1801¹

Step-3: Factors of 46820

List of positive integer factors of 46820 that divides 46820 without a remainder.

1, 2, 4, 5, 10, 20, 2341, 4682, 9364, 11705, 23410

Step-4: Factors of 46826

List of positive integer factors of 46826 that divides 46820 without a remainder.

1, 2, 13, 26, 1801, 3602, 23413

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46820 and 46826. The biggest common factor number is the GCF number.
So the greatest common factor 46820 and 46826 is 2.

Also check out the Least Common Multiple of 46820 and 46826