What is the greatest common factor of 30 and 36

Mathematics

2 answers:

katovenus [111]3 years ago

8 0

Answer:

Step-by-step explanation:

VashaNatasha [74]3 years ago

8 0

<h2>Answer:</h2>

Greatest common factor (GCF) of 30 and 36 is 6.

<h2>Step-by-step explanation:</h2>

<u>We will now calculate the prime factors of 30 and 36, than find the greatest common factor of the numbers by matching the biggest common factor of 30 and 36. </u>

Prime Factorization of 30

Prime factors of 30 are 2, 3, 5. Prime factorization of 30 in exponential form is:

Prime Factorization of 36

Prime factors of 36 are 2, 3. Prime factorization of 36 in exponential form is:

<u />

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1, 2, 3, 5, 6, 10, 15

Factors of 36

List of positive integer factors of 36 that divides 30 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18

Greatest Common Factor

We found the factors and prime factorization of 30 and 36. The biggest common factor number is the GCF number.

<em>So the greatest common factor 30 and 36 is 6.</em>

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