What is the Greatest Common Factor of 46865 and 46878?

Greatest common factor (GCF) of 46865 and 46878 is 13.

GCF(46865,46878) = 13

We will now calculate the prime factors of 46865 and 46878, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46865 and 46878.

How to find the GCF of 46865 and 46878?

We will first find the prime factorization of 46865 and 46878. After we will calculate the factors of 46865 and 46878 and find the biggest common factor number .

Step-1: Prime Factorization of 46865

Prime factors of 46865 are 5, 7, 13, 103. Prime factorization of 46865 in exponential form is:

46865 = 5¹ × 7¹ × 13¹ × 103¹

Step-2: Prime Factorization of 46878

Prime factors of 46878 are 2, 3, 13, 601. Prime factorization of 46878 in exponential form is:

46878 = 2¹ × 3¹ × 13¹ × 601¹

Step-3: Factors of 46865

List of positive integer factors of 46865 that divides 46865 without a remainder.

1, 5, 7, 13, 35, 65, 91, 103, 455, 515, 721, 1339, 3605, 6695, 9373

Step-4: Factors of 46878

List of positive integer factors of 46878 that divides 46865 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 601, 1202, 1803, 3606, 7813, 15626, 23439

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46865 and 46878. The biggest common factor number is the GCF number.
So the greatest common factor 46865 and 46878 is 13.

Also check out the Least Common Multiple of 46865 and 46878