What is the Greatest Common Factor of 72862 and 72870?

Greatest common factor (GCF) of 72862 and 72870 is 2.

GCF(72862,72870) = 2

We will now calculate the prime factors of 72862 and 72870, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72862 and 72870.

How to find the GCF of 72862 and 72870?

We will first find the prime factorization of 72862 and 72870. After we will calculate the factors of 72862 and 72870 and find the biggest common factor number .

Step-1: Prime Factorization of 72862

Prime factors of 72862 are 2, 17, 2143. Prime factorization of 72862 in exponential form is:

72862 = 2¹ × 17¹ × 2143¹

Step-2: 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-3: Factors of 72862

List of positive integer factors of 72862 that divides 72862 without a remainder.

1, 2, 17, 34, 2143, 4286, 36431

Step-4: Factors of 72870

List of positive integer factors of 72870 that divides 72862 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72862 and 72870. The biggest common factor number is the GCF number.
So the greatest common factor 72862 and 72870 is 2.

Also check out the Least Common Multiple of 72862 and 72870