What is the Greatest Common Factor of 46870 and 46884?

Greatest common factor (GCF) of 46870 and 46884 is 2.

GCF(46870,46884) = 2

We will now calculate the prime factors of 46870 and 46884, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46870 and 46884.

How to find the GCF of 46870 and 46884?

We will first find the prime factorization of 46870 and 46884. After we will calculate the factors of 46870 and 46884 and find the biggest common factor number .

Step-1: Prime Factorization of 46870

Prime factors of 46870 are 2, 5, 43, 109. Prime factorization of 46870 in exponential form is:

46870 = 2¹ × 5¹ × 43¹ × 109¹

Step-2: Prime Factorization of 46884

Prime factors of 46884 are 2, 3, 3907. Prime factorization of 46884 in exponential form is:

46884 = 2² × 3¹ × 3907¹

Step-3: Factors of 46870

List of positive integer factors of 46870 that divides 46870 without a remainder.

1, 2, 5, 10, 43, 86, 109, 215, 218, 430, 545, 1090, 4687, 9374, 23435

Step-4: Factors of 46884

List of positive integer factors of 46884 that divides 46870 without a remainder.

1, 2, 3, 4, 6, 12, 3907, 7814, 11721, 15628, 23442

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46870 and 46884. The biggest common factor number is the GCF number.
So the greatest common factor 46870 and 46884 is 2.

Also check out the Least Common Multiple of 46870 and 46884