What is the Greatest Common Factor of 47044 and 47064?

Greatest common factor (GCF) of 47044 and 47064 is 4.

GCF(47044,47064) = 4

We will now calculate the prime factors of 47044 and 47064, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47044 and 47064.

How to find the GCF of 47044 and 47064?

We will first find the prime factorization of 47044 and 47064. After we will calculate the factors of 47044 and 47064 and find the biggest common factor number .

Step-1: Prime Factorization of 47044

Prime factors of 47044 are 2, 19, 619. Prime factorization of 47044 in exponential form is:

47044 = 2² × 19¹ × 619¹

Step-2: 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-3: Factors of 47044

List of positive integer factors of 47044 that divides 47044 without a remainder.

1, 2, 4, 19, 38, 76, 619, 1238, 2476, 11761, 23522

Step-4: Factors of 47064

List of positive integer factors of 47064 that divides 47044 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47044 and 47064. The biggest common factor number is the GCF number.
So the greatest common factor 47044 and 47064 is 4.

Also check out the Least Common Multiple of 47044 and 47064