What is the Greatest Common Factor of 47064 and 47084?

Greatest common factor (GCF) of 47064 and 47084 is 4.

GCF(47064,47084) = 4

We will now calculate the prime factors of 47064 and 47084, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47064 and 47084.

How to find the GCF of 47064 and 47084?

We will first find the prime factorization of 47064 and 47084. After we will calculate the factors of 47064 and 47084 and find the biggest common factor number .

Step-1: Prime Factorization of 47064

Prime factors of 47064 are 2, 3, 37, 53. Prime factorization of 47064 in exponential form is:

47064 = 2³ × 3¹ × 37¹ × 53¹

Step-2: Prime Factorization of 47084

Prime factors of 47084 are 2, 79, 149. Prime factorization of 47084 in exponential form is:

47084 = 2² × 79¹ × 149¹

Step-3: Factors of 47064

List of positive integer factors of 47064 that divides 47064 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 37, 53, 74, 106, 111, 148, 159, 212, 222, 296, 318, 424, 444, 636, 888, 1272, 1961, 3922, 5883, 7844, 11766, 15688, 23532

Step-4: Factors of 47084

List of positive integer factors of 47084 that divides 47064 without a remainder.

1, 2, 4, 79, 149, 158, 298, 316, 596, 11771, 23542

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47064 and 47084. The biggest common factor number is the GCF number.
So the greatest common factor 47064 and 47084 is 4.

Also check out the Least Common Multiple of 47064 and 47084