What is the Greatest Common Factor of 72870 and 72884?

Greatest common factor (GCF) of 72870 and 72884 is 14.

GCF(72870,72884) = 14

We will now calculate the prime factors of 72870 and 72884, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72870 and 72884.

How to find the GCF of 72870 and 72884?

We will first find the prime factorization of 72870 and 72884. After we will calculate the factors of 72870 and 72884 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 72884

Prime factors of 72884 are 2, 7, 19, 137. Prime factorization of 72884 in exponential form is:

72884 = 2² × 7¹ × 19¹ × 137¹

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 72884

List of positive integer factors of 72884 that divides 72870 without a remainder.

1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 137, 266, 274, 532, 548, 959, 1918, 2603, 3836, 5206, 10412, 18221, 36442

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72870 and 72884. The biggest common factor number is the GCF number.
So the greatest common factor 72870 and 72884 is 14.

Also check out the Least Common Multiple of 72870 and 72884