What is the Greatest Common Factor of 72112 and 72120?

Greatest common factor (GCF) of 72112 and 72120 is 8.

GCF(72112,72120) = 8

We will now calculate the prime factors of 72112 and 72120, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72112 and 72120.

How to find the GCF of 72112 and 72120?

We will first find the prime factorization of 72112 and 72120. After we will calculate the factors of 72112 and 72120 and find the biggest common factor number .

Step-1: Prime Factorization of 72112

Prime factors of 72112 are 2, 4507. Prime factorization of 72112 in exponential form is:

72112 = 2⁴ × 4507¹

Step-2: Prime Factorization of 72120

Prime factors of 72120 are 2, 3, 5, 601. Prime factorization of 72120 in exponential form is:

72120 = 2³ × 3¹ × 5¹ × 601¹

Step-3: Factors of 72112

List of positive integer factors of 72112 that divides 72112 without a remainder.

1, 2, 4, 8, 16, 4507, 9014, 18028, 36056

Step-4: Factors of 72120

List of positive integer factors of 72120 that divides 72112 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 601, 1202, 1803, 2404, 3005, 3606, 4808, 6010, 7212, 9015, 12020, 14424, 18030, 24040, 36060

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72112 and 72120. The biggest common factor number is the GCF number.
So the greatest common factor 72112 and 72120 is 8.

Also check out the Least Common Multiple of 72112 and 72120