What is the Greatest Common Factor of 72870 and 72886?

Greatest common factor (GCF) of 72870 and 72886 is 2.

GCF(72870,72886) = 2

We will now calculate the prime factors of 72870 and 72886, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72870 and 72886.

How to find the GCF of 72870 and 72886?

We will first find the prime factorization of 72870 and 72886. After we will calculate the factors of 72870 and 72886 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 72886

Prime factors of 72886 are 2, 11, 3313. Prime factorization of 72886 in exponential form is:

72886 = 2¹ × 11¹ × 3313¹

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 72886

List of positive integer factors of 72886 that divides 72870 without a remainder.

1, 2, 11, 22, 3313, 6626, 36443

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72870 and 72886. The biggest common factor number is the GCF number.
So the greatest common factor 72870 and 72886 is 2.

Also check out the Least Common Multiple of 72870 and 72886