What is the Greatest Common Factor of 46340 and 46353?

Greatest common factor (GCF) of 46340 and 46353 is 1.

GCF(46340,46353) = 1

We will now calculate the prime factors of 46340 and 46353, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46340 and 46353.

How to find the GCF of 46340 and 46353?

We will first find the prime factorization of 46340 and 46353. After we will calculate the factors of 46340 and 46353 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 46353

Prime factors of 46353 are 3, 15451. Prime factorization of 46353 in exponential form is:

46353 = 3¹ × 15451¹

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 46353

List of positive integer factors of 46353 that divides 46340 without a remainder.

1, 3, 15451

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46340 and 46353. The biggest common factor number is the GCF number.
So the greatest common factor 46340 and 46353 is 1.

Also check out the Least Common Multiple of 46340 and 46353