What is the Greatest Common Factor of 72870 and 72883?

Greatest common factor (GCF) of 72870 and 72883 is 1.

GCF(72870,72883) = 1

We will now calculate the prime factors of 72870 and 72883, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72870 and 72883.

How to find the GCF of 72870 and 72883?

We will first find the prime factorization of 72870 and 72883. After we will calculate the factors of 72870 and 72883 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 72883

Prime factors of 72883 are 72883. Prime factorization of 72883 in exponential form is:

72883 = 72883¹

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 72883

List of positive integer factors of 72883 that divides 72870 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72870 and 72883. The biggest common factor number is the GCF number.
So the greatest common factor 72870 and 72883 is 1.

Also check out the Least Common Multiple of 72870 and 72883