What is the Greatest Common Factor of 46340 and 46354?

Greatest common factor (GCF) of 46340 and 46354 is 14.

GCF(46340,46354) = 14

We will now calculate the prime factors of 46340 and 46354, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46340 and 46354.

How to find the GCF of 46340 and 46354?

We will first find the prime factorization of 46340 and 46354. After we will calculate the factors of 46340 and 46354 and find the biggest common factor number .

Step-1: Prime Factorization of 46340

Prime factors of 46340 are 2, 5, 7, 331. Prime factorization of 46340 in exponential form is:

46340 = 2² × 5¹ × 7¹ × 331¹

Step-2: Prime Factorization of 46354

Prime factors of 46354 are 2, 7, 11, 43. Prime factorization of 46354 in exponential form is:

46354 = 2¹ × 7² × 11¹ × 43¹

Step-3: Factors of 46340

List of positive integer factors of 46340 that divides 46340 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140, 331, 662, 1324, 1655, 2317, 3310, 4634, 6620, 9268, 11585, 23170

Step-4: Factors of 46354

List of positive integer factors of 46354 that divides 46340 without a remainder.

1, 2, 7, 11, 14, 22, 43, 49, 77, 86, 98, 154, 301, 473, 539, 602, 946, 1078, 2107, 3311, 4214, 6622, 23177

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46340 and 46354. The biggest common factor number is the GCF number.
So the greatest common factor 46340 and 46354 is 14.

Also check out the Least Common Multiple of 46340 and 46354