Greatest Common Factor of 4445 and 4452

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 4445, 4452 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4445 and 4452 is 7.

GCF(4445,4452) = 7

GCF of 4445 and 4452

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

GCF of:
and

Greatest Common Factor of 4445 and 4452

GCF of 4445 and 4452 is 7

Prime Factorization of 4445


5 4445
7 889
127 127
1

Prime factors of 4445 are 5,7,127. Prime factorization of 4445 in exponential form is:

4445 = 51×71×1271

Prime Factorization of 4452


2 4452
2 2226
3 1113
7 371
53 53
1

Prime factors of 4452 are 2,3,7,53. Prime factorization of 4452 in exponential form is:

4452 = 22×31×71×531

∴ So by taking common prime factors GCF of 4445 and 4452 is 7

Greatest Common Factor of 4445 and 4452 by matching factors method

Factors of 4445

List of positive integer factors of 4445 that divides 4445 without a remainder.

1,5,7,35,127,635,889,4445

Factors of 4452

List of positive integer factors of 4452 that divides 4452 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,53,84,106,159,212,318,371,636,742,1113,1484,2226,4452

Greatest Common Factor

We found the factors and prime factorization of 4445 and 4452. The biggest common factor number is the GCF number.
So the greatest common factor 4445 and 4452 is 7.

Also check out the Least Common Multiple of 4445 and 4452

Properties of GCF 4445 and 4452

(i) The GCF of 4445 and 4452 is associative

GCF of 4445 and 4452 = GCF of 4452 and 4445

Related Greatest Common Factor of 4445

Related Greatest Common Factor of 4452

Frequently Asked Questions on GCF of 4445 and 4452

1. What is the GCF of 4445 and 4452?

Answer: GCF of 4445 and 4452 is 7.

2. What are the Factors of 4445?

Answer: Factors of 4445 are 1, 5, 7, 35, 127, 635, 889, 4445. There are 8 integers that are factors of 4445. The greatest factor of 4445 is 4445.

3. What are the Factors of 4452?

Answer: Factors of 4452 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 53, 84, 106, 159, 212, 318, 371, 636, 742, 1113, 1484, 2226, 4452. There are 24 integers that are factors of 4452. The greatest factor of 4452 is 4452.

4. How to Find the GCF of 4445 and 4452?

Answer:

Greatest Common Factor of 4445 and 4452 = 7

Step 1: Find the prime factorization of 4445

4445 = 5 x 7 x 127

Step 2: Find the prime factorization of 4452

4452 = 2 x 2 x 3 x 7 x 53

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

GCF = 7

Step 4: Therefore, the greatest common factor of 4445 and 4452 is 7