What is the Greatest Common Factor of 46798 and 46802?

Greatest common factor (GCF) of 46798 and 46802 is 2.

GCF(46798,46802) = 2

We will now calculate the prime factors of 46798 and 46802, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46798 and 46802.

How to find the GCF of 46798 and 46802?

We will first find the prime factorization of 46798 and 46802. After we will calculate the factors of 46798 and 46802 and find the biggest common factor number .

Step-1: Prime Factorization of 46798

Prime factors of 46798 are 2, 23399. Prime factorization of 46798 in exponential form is:

46798 = 2¹ × 23399¹

Step-2: Prime Factorization of 46802

Prime factors of 46802 are 2, 7, 3343. Prime factorization of 46802 in exponential form is:

46802 = 2¹ × 7¹ × 3343¹

Step-3: Factors of 46798

List of positive integer factors of 46798 that divides 46798 without a remainder.

1, 2, 23399

Step-4: Factors of 46802

List of positive integer factors of 46802 that divides 46798 without a remainder.

1, 2, 7, 14, 3343, 6686, 23401

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46798 and 46802. The biggest common factor number is the GCF number.
So the greatest common factor 46798 and 46802 is 2.

Also check out the Least Common Multiple of 46798 and 46802