What is the Greatest Common Factor of 46840 and 46858?

Greatest common factor (GCF) of 46840 and 46858 is 2.

GCF(46840,46858) = 2

We will now calculate the prime factors of 46840 and 46858, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46840 and 46858.

How to find the GCF of 46840 and 46858?

We will first find the prime factorization of 46840 and 46858. After we will calculate the factors of 46840 and 46858 and find the biggest common factor number .

Step-1: Prime Factorization of 46840

Prime factors of 46840 are 2, 5, 1171. Prime factorization of 46840 in exponential form is:

46840 = 2³ × 5¹ × 1171¹

Step-2: Prime Factorization of 46858

Prime factors of 46858 are 2, 7, 3347. Prime factorization of 46858 in exponential form is:

46858 = 2¹ × 7¹ × 3347¹

Step-3: Factors of 46840

List of positive integer factors of 46840 that divides 46840 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 1171, 2342, 4684, 5855, 9368, 11710, 23420

Step-4: Factors of 46858

List of positive integer factors of 46858 that divides 46840 without a remainder.

1, 2, 7, 14, 3347, 6694, 23429

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46840 and 46858. The biggest common factor number is the GCF number.
So the greatest common factor 46840 and 46858 is 2.

Also check out the Least Common Multiple of 46840 and 46858