What is the Greatest Common Factor of 46830 and 46845?

Greatest common factor (GCF) of 46830 and 46845 is 15.

GCF(46830,46845) = 15

We will now calculate the prime factors of 46830 and 46845, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46830 and 46845.

How to find the GCF of 46830 and 46845?

We will first find the prime factorization of 46830 and 46845. After we will calculate the factors of 46830 and 46845 and find the biggest common factor number .

Step-1: Prime Factorization of 46830

Prime factors of 46830 are 2, 3, 5, 7, 223. Prime factorization of 46830 in exponential form is:

46830 = 2¹ × 3¹ × 5¹ × 7¹ × 223¹

Step-2: Prime Factorization of 46845

Prime factors of 46845 are 3, 5, 347. Prime factorization of 46845 in exponential form is:

46845 = 3³ × 5¹ × 347¹

Step-3: Factors of 46830

List of positive integer factors of 46830 that divides 46830 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210, 223, 446, 669, 1115, 1338, 1561, 2230, 3122, 3345, 4683, 6690, 7805, 9366, 15610, 23415

Step-4: Factors of 46845

List of positive integer factors of 46845 that divides 46830 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135, 347, 1041, 1735, 3123, 5205, 9369, 15615

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46830 and 46845. The biggest common factor number is the GCF number.
So the greatest common factor 46830 and 46845 is 15.

Also check out the Least Common Multiple of 46830 and 46845