Greatest Common Factor of 7212 and 7216

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 7212, 7216 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7212 and 7216 is 4.

GCF(7212,7216) = 4

GCF of 7212 and 7216

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 7212 and 7216

GCF of 7212 and 7216 is 4

Prime Factorization of 7212


2 7212
2 3606
3 1803
601 601
1

Prime factors of 7212 are 2,3,601. Prime factorization of 7212 in exponential form is:

7212 = 22×31×6011

Prime Factorization of 7216


2 7216
2 3608
2 1804
2 902
11 451
41 41
1

Prime factors of 7216 are 2,11,41. Prime factorization of 7216 in exponential form is:

7216 = 24×111×411

∴ So by taking common prime factors GCF of 7212 and 7216 is 4

Greatest Common Factor of 7212 and 7216 by matching factors method

Factors of 7212

List of positive integer factors of 7212 that divides 7212 without a remainder.

1,2,3,4,6,12,601,1202,1803,2404,3606,7212

Factors of 7216

List of positive integer factors of 7216 that divides 7216 without a remainder.

1,2,4,8,11,16,22,41,44,82,88,164,176,328,451,656,902,1804,3608,7216

Greatest Common Factor

We found the factors and prime factorization of 7212 and 7216. The biggest common factor number is the GCF number.
So the greatest common factor 7212 and 7216 is 4.

Also check out the Least Common Multiple of 7212 and 7216

Properties of GCF 7212 and 7216

(i) The GCF of 7212 and 7216 is associative

GCF of 7212 and 7216 = GCF of 7216 and 7212

Related Greatest Common Factor of 7212

Related Greatest Common Factor of 7216

Frequently Asked Questions on GCF of 7212 and 7216

1. What is the GCF of 7212 and 7216?

Answer: GCF of 7212 and 7216 is 4.

2. What are the Factors of 7212?

Answer: Factors of 7212 are 1, 2, 3, 4, 6, 12, 601, 1202, 1803, 2404, 3606, 7212. There are 12 integers that are factors of 7212. The greatest factor of 7212 is 7212.

3. What are the Factors of 7216?

Answer: Factors of 7216 are 1, 2, 4, 8, 11, 16, 22, 41, 44, 82, 88, 164, 176, 328, 451, 656, 902, 1804, 3608, 7216. There are 20 integers that are factors of 7216. The greatest factor of 7216 is 7216.

4. How to Find the GCF of 7212 and 7216?

Answer:

Greatest Common Factor of 7212 and 7216 = 4

Step 1: Find the prime factorization of 7212

7212 = 2 x 2 x 3 x 601

Step 2: Find the prime factorization of 7216

7216 = 2 x 2 x 2 x 2 x 11 x 41

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 7212 and 7216 is 4