What is the Greatest Common Factor of 46905 and 46910?

Greatest common factor (GCF) of 46905 and 46910 is 5.

GCF(46905,46910) = 5

We will now calculate the prime factors of 46905 and 46910, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46905 and 46910.

How to find the GCF of 46905 and 46910?

We will first find the prime factorization of 46905 and 46910. After we will calculate the factors of 46905 and 46910 and find the biggest common factor number .

Step-1: Prime Factorization of 46905

Prime factors of 46905 are 3, 5, 53, 59. Prime factorization of 46905 in exponential form is:

46905 = 3¹ × 5¹ × 53¹ × 59¹

Step-2: Prime Factorization of 46910

Prime factors of 46910 are 2, 5, 4691. Prime factorization of 46910 in exponential form is:

46910 = 2¹ × 5¹ × 4691¹

Step-3: Factors of 46905

List of positive integer factors of 46905 that divides 46905 without a remainder.

1, 3, 5, 15, 53, 59, 159, 177, 265, 295, 795, 885, 3127, 9381, 15635

Step-4: Factors of 46910

List of positive integer factors of 46910 that divides 46905 without a remainder.

1, 2, 5, 10, 4691, 9382, 23455

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46905 and 46910. The biggest common factor number is the GCF number.
So the greatest common factor 46905 and 46910 is 5.

Also check out the Least Common Multiple of 46905 and 46910