What is the Greatest Common Factor of 47052 and 47064?

Greatest common factor (GCF) of 47052 and 47064 is 12.

GCF(47052,47064) = 12

We will now calculate the prime factors of 47052 and 47064, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47052 and 47064.

How to find the GCF of 47052 and 47064?

We will first find the prime factorization of 47052 and 47064. After we will calculate the factors of 47052 and 47064 and find the biggest common factor number .

Step-1: Prime Factorization of 47052

Prime factors of 47052 are 2, 3, 1307. Prime factorization of 47052 in exponential form is:

47052 = 2² × 3² × 1307¹

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 47052

List of positive integer factors of 47052 that divides 47052 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 1307, 2614, 3921, 5228, 7842, 11763, 15684, 23526

Step-4: Factors of 47064

List of positive integer factors of 47064 that divides 47052 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 47052 and 47064. The biggest common factor number is the GCF number.
So the greatest common factor 47052 and 47064 is 12.

Also check out the Least Common Multiple of 47052 and 47064