What is the Greatest Common Factor of 46335 and 46340?

Greatest common factor (GCF) of 46335 and 46340 is 5.

GCF(46335,46340) = 5

We will now calculate the prime factors of 46335 and 46340, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46335 and 46340.

How to find the GCF of 46335 and 46340?

We will first find the prime factorization of 46335 and 46340. After we will calculate the factors of 46335 and 46340 and find the biggest common factor number .

Step-1: Prime Factorization of 46335

Prime factors of 46335 are 3, 5, 3089. Prime factorization of 46335 in exponential form is:

46335 = 3¹ × 5¹ × 3089¹

Step-2: 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-3: Factors of 46335

List of positive integer factors of 46335 that divides 46335 without a remainder.

1, 3, 5, 15, 3089, 9267, 15445

Step-4: Factors of 46340

List of positive integer factors of 46340 that divides 46335 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46335 and 46340. The biggest common factor number is the GCF number.
So the greatest common factor 46335 and 46340 is 5.

Also check out the Least Common Multiple of 46335 and 46340