What is the Greatest Common Factor of 72870 and 72888?

Greatest common factor (GCF) of 72870 and 72888 is 6.

GCF(72870,72888) = 6

We will now calculate the prime factors of 72870 and 72888, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72870 and 72888.

How to find the GCF of 72870 and 72888?

We will first find the prime factorization of 72870 and 72888. After we will calculate the factors of 72870 and 72888 and find the biggest common factor number .

Step-1: Prime Factorization of 72870

Prime factors of 72870 are 2, 3, 5, 7, 347. Prime factorization of 72870 in exponential form is:

72870 = 2¹ × 3¹ × 5¹ × 7¹ × 347¹

Step-2: Prime Factorization of 72888

Prime factors of 72888 are 2, 3, 3037. Prime factorization of 72888 in exponential form is:

72888 = 2³ × 3¹ × 3037¹

Step-3: Factors of 72870

List of positive integer factors of 72870 that divides 72870 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210, 347, 694, 1041, 1735, 2082, 2429, 3470, 4858, 5205, 7287, 10410, 12145, 14574, 24290, 36435

Step-4: Factors of 72888

List of positive integer factors of 72888 that divides 72870 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 3037, 6074, 9111, 12148, 18222, 24296, 36444

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72870 and 72888. The biggest common factor number is the GCF number.
So the greatest common factor 72870 and 72888 is 6.

Also check out the Least Common Multiple of 72870 and 72888