Greatest Common Factor of 7228 and 7236

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 7228, 7236 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7228 and 7236 is 4.

GCF(7228,7236) = 4

GCF of 7228 and 7236

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

GCF of:
and

Greatest Common Factor of 7228 and 7236

GCF of 7228 and 7236 is 4

Prime Factorization of 7228


2 7228
2 3614
13 1807
139 139
1

Prime factors of 7228 are 2,13,139. Prime factorization of 7228 in exponential form is:

7228 = 22×131×1391

Prime Factorization of 7236


2 7236
2 3618
3 1809
3 603
3 201
67 67
1

Prime factors of 7236 are 2,3,67. Prime factorization of 7236 in exponential form is:

7236 = 22×33×671

∴ So by taking common prime factors GCF of 7228 and 7236 is 4

Greatest Common Factor of 7228 and 7236 by matching factors method

Factors of 7228

List of positive integer factors of 7228 that divides 7228 without a remainder.

1,2,4,13,26,52,139,278,556,1807,3614,7228

Factors of 7236

List of positive integer factors of 7236 that divides 7236 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,67,108,134,201,268,402,603,804,1206,1809,2412,3618,7236

Greatest Common Factor

We found the factors and prime factorization of 7228 and 7236. The biggest common factor number is the GCF number.
So the greatest common factor 7228 and 7236 is 4.

Also check out the Least Common Multiple of 7228 and 7236

Properties of GCF 7228 and 7236

(i) The GCF of 7228 and 7236 is associative

GCF of 7228 and 7236 = GCF of 7236 and 7228

Related Greatest Common Factor of 7228

Related Greatest Common Factor of 7236

Frequently Asked Questions on GCF of 7228 and 7236

1. What is the GCF of 7228 and 7236?

Answer: GCF of 7228 and 7236 is 4.

2. What are the Factors of 7228?

Answer: Factors of 7228 are 1, 2, 4, 13, 26, 52, 139, 278, 556, 1807, 3614, 7228. There are 12 integers that are factors of 7228. The greatest factor of 7228 is 7228.

3. What are the Factors of 7236?

Answer: Factors of 7236 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 67, 108, 134, 201, 268, 402, 603, 804, 1206, 1809, 2412, 3618, 7236. There are 24 integers that are factors of 7236. The greatest factor of 7236 is 7236.

4. How to Find the GCF of 7228 and 7236?

Answer:

Greatest Common Factor of 7228 and 7236 = 4

Step 1: Find the prime factorization of 7228

7228 = 2 x 2 x 13 x 139

Step 2: Find the prime factorization of 7236

7236 = 2 x 2 x 3 x 3 x 3 x 67

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 7228 and 7236 is 4