What is the Greatest Common Factor of 46806 and 46820?

Greatest common factor (GCF) of 46806 and 46820 is 2.

GCF(46806,46820) = 2

We will now calculate the prime factors of 46806 and 46820, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46806 and 46820.

How to find the GCF of 46806 and 46820?

We will first find the prime factorization of 46806 and 46820. After we will calculate the factors of 46806 and 46820 and find the biggest common factor number .

Step-1: Prime Factorization of 46806

Prime factors of 46806 are 2, 3, 29, 269. Prime factorization of 46806 in exponential form is:

46806 = 2¹ × 3¹ × 29¹ × 269¹

Step-2: 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-3: Factors of 46806

List of positive integer factors of 46806 that divides 46806 without a remainder.

1, 2, 3, 6, 29, 58, 87, 174, 269, 538, 807, 1614, 7801, 15602, 23403

Step-4: Factors of 46820

List of positive integer factors of 46820 that divides 46806 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46806 and 46820. The biggest common factor number is the GCF number.
So the greatest common factor 46806 and 46820 is 2.

Also check out the Least Common Multiple of 46806 and 46820