What is the Greatest Common Factor of 46335 and 46355?

Greatest common factor (GCF) of 46335 and 46355 is 5.

GCF(46335,46355) = 5

We will now calculate the prime factors of 46335 and 46355, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46335 and 46355.

How to find the GCF of 46335 and 46355?

We will first find the prime factorization of 46335 and 46355. After we will calculate the factors of 46335 and 46355 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 46355

Prime factors of 46355 are 5, 73, 127. Prime factorization of 46355 in exponential form is:

46355 = 5¹ × 73¹ × 127¹

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 46355

List of positive integer factors of 46355 that divides 46335 without a remainder.

1, 5, 73, 127, 365, 635, 9271

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46335 and 46355. The biggest common factor number is the GCF number.
So the greatest common factor 46335 and 46355 is 5.

Also check out the Least Common Multiple of 46335 and 46355