What is the Greatest Common Factor of 46884 and 46888?

Greatest common factor (GCF) of 46884 and 46888 is 4.

GCF(46884,46888) = 4

We will now calculate the prime factors of 46884 and 46888, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46884 and 46888.

How to find the GCF of 46884 and 46888?

We will first find the prime factorization of 46884 and 46888. After we will calculate the factors of 46884 and 46888 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 46888

Prime factors of 46888 are 2, 5861. Prime factorization of 46888 in exponential form is:

46888 = 2³ × 5861¹

Step-3: Factors of 46884

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

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

Step-4: Factors of 46888

List of positive integer factors of 46888 that divides 46884 without a remainder.

1, 2, 4, 8, 5861, 11722, 23444

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46884 and 46888. The biggest common factor number is the GCF number.
So the greatest common factor 46884 and 46888 is 4.

Also check out the Least Common Multiple of 46884 and 46888