What is the Greatest Common Factor of 47112 and 47120?

Greatest common factor (GCF) of 47112 and 47120 is 8.

GCF(47112,47120) = 8

We will now calculate the prime factors of 47112 and 47120, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47112 and 47120.

How to find the GCF of 47112 and 47120?

We will first find the prime factorization of 47112 and 47120. After we will calculate the factors of 47112 and 47120 and find the biggest common factor number .

Step-1: Prime Factorization of 47112

Prime factors of 47112 are 2, 3, 13, 151. Prime factorization of 47112 in exponential form is:

47112 = 2³ × 3¹ × 13¹ × 151¹

Step-2: Prime Factorization of 47120

Prime factors of 47120 are 2, 5, 19, 31. Prime factorization of 47120 in exponential form is:

47120 = 2⁴ × 5¹ × 19¹ × 31¹

Step-3: Factors of 47112

List of positive integer factors of 47112 that divides 47112 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 151, 156, 302, 312, 453, 604, 906, 1208, 1812, 1963, 3624, 3926, 5889, 7852, 11778, 15704, 23556

Step-4: Factors of 47120

List of positive integer factors of 47120 that divides 47112 without a remainder.

1, 2, 4, 5, 8, 10, 16, 19, 20, 31, 38, 40, 62, 76, 80, 95, 124, 152, 155, 190, 248, 304, 310, 380, 496, 589, 620, 760, 1178, 1240, 1520, 2356, 2480, 2945, 4712, 5890, 9424, 11780, 23560

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47112 and 47120. The biggest common factor number is the GCF number.
So the greatest common factor 47112 and 47120 is 8.

Also check out the Least Common Multiple of 47112 and 47120