What is the Greatest Common Factor of 72090 and 72094?

Greatest common factor (GCF) of 72090 and 72094 is 2.

GCF(72090,72094) = 2

We will now calculate the prime factors of 72090 and 72094, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72090 and 72094.

How to find the GCF of 72090 and 72094?

We will first find the prime factorization of 72090 and 72094. After we will calculate the factors of 72090 and 72094 and find the biggest common factor number .

Step-1: Prime Factorization of 72090

Prime factors of 72090 are 2, 3, 5, 89. Prime factorization of 72090 in exponential form is:

72090 = 2¹ × 3⁴ × 5¹ × 89¹

Step-2: Prime Factorization of 72094

Prime factors of 72094 are 2, 11, 29, 113. Prime factorization of 72094 in exponential form is:

72094 = 2¹ × 11¹ × 29¹ × 113¹

Step-3: Factors of 72090

List of positive integer factors of 72090 that divides 72090 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 89, 90, 135, 162, 178, 267, 270, 405, 445, 534, 801, 810, 890, 1335, 1602, 2403, 2670, 4005, 4806, 7209, 8010, 12015, 14418, 24030, 36045

Step-4: Factors of 72094

List of positive integer factors of 72094 that divides 72090 without a remainder.

1, 2, 11, 22, 29, 58, 113, 226, 319, 638, 1243, 2486, 3277, 6554, 36047

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72090 and 72094. The biggest common factor number is the GCF number.
So the greatest common factor 72090 and 72094 is 2.

Also check out the Least Common Multiple of 72090 and 72094