What is the Greatest Common Factor of 47802 and 47812?

Greatest common factor (GCF) of 47802 and 47812 is 2.

GCF(47802,47812) = 2

We will now calculate the prime factors of 47802 and 47812, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47802 and 47812.

How to find the GCF of 47802 and 47812?

We will first find the prime factorization of 47802 and 47812. After we will calculate the factors of 47802 and 47812 and find the biggest common factor number .

Step-1: Prime Factorization of 47802

Prime factors of 47802 are 2, 3, 31, 257. Prime factorization of 47802 in exponential form is:

47802 = 2¹ × 3¹ × 31¹ × 257¹

Step-2: Prime Factorization of 47812

Prime factors of 47812 are 2, 11953. Prime factorization of 47812 in exponential form is:

47812 = 2² × 11953¹

Step-3: Factors of 47802

List of positive integer factors of 47802 that divides 47802 without a remainder.

1, 2, 3, 6, 31, 62, 93, 186, 257, 514, 771, 1542, 7967, 15934, 23901

Step-4: Factors of 47812

List of positive integer factors of 47812 that divides 47802 without a remainder.

1, 2, 4, 11953, 23906

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47802 and 47812. The biggest common factor number is the GCF number.
So the greatest common factor 47802 and 47812 is 2.

Also check out the Least Common Multiple of 47802 and 47812