What is the Greatest Common Factor of 47688 and 47692?

Greatest common factor (GCF) of 47688 and 47692 is 4.

GCF(47688,47692) = 4

We will now calculate the prime factors of 47688 and 47692, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47688 and 47692.

How to find the GCF of 47688 and 47692?

We will first find the prime factorization of 47688 and 47692. After we will calculate the factors of 47688 and 47692 and find the biggest common factor number .

Step-1: Prime Factorization of 47688

Prime factors of 47688 are 2, 3, 1987. Prime factorization of 47688 in exponential form is:

47688 = 2³ × 3¹ × 1987¹

Step-2: Prime Factorization of 47692

Prime factors of 47692 are 2, 11923. Prime factorization of 47692 in exponential form is:

47692 = 2² × 11923¹

Step-3: Factors of 47688

List of positive integer factors of 47688 that divides 47688 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 1987, 3974, 5961, 7948, 11922, 15896, 23844

Step-4: Factors of 47692

List of positive integer factors of 47692 that divides 47688 without a remainder.

1, 2, 4, 11923, 23846

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47688 and 47692. The biggest common factor number is the GCF number.
So the greatest common factor 47688 and 47692 is 4.

Also check out the Least Common Multiple of 47688 and 47692