Greatest Common Factor of 8945 and 8952

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 8945, 8952 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8945 and 8952 is 1.

GCF(8945,8952) = 1

GCF of 8945 and 8952

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

GCF of:
and

Greatest Common Factor of 8945 and 8952

GCF of 8945 and 8952 is 1

Prime Factorization of 8945


5 8945
1789 1789
1

Prime factors of 8945 are 5,1789. Prime factorization of 8945 in exponential form is:

8945 = 51×17891

Prime Factorization of 8952


2 8952
2 4476
2 2238
3 1119
373 373
1

Prime factors of 8952 are 2,3,373. Prime factorization of 8952 in exponential form is:

8952 = 23×31×3731

∴ So by taking common prime factors GCF of 8945 and 8952 is 1

Greatest Common Factor of 8945 and 8952 by matching factors method

Factors of 8945

List of positive integer factors of 8945 that divides 8945 without a remainder.

1,5,1789,8945

Factors of 8952

List of positive integer factors of 8952 that divides 8952 without a remainder.

1,2,3,4,6,8,12,24,373,746,1119,1492,2238,2984,4476,8952

Greatest Common Factor

We found the factors and prime factorization of 8945 and 8952. The biggest common factor number is the GCF number.
So the greatest common factor 8945 and 8952 is 1.

Also check out the Least Common Multiple of 8945 and 8952

Properties of GCF 8945 and 8952

(i) The GCF of 8945 and 8952 is associative

GCF of 8945 and 8952 = GCF of 8952 and 8945

Related Greatest Common Factor of 8945

Related Greatest Common Factor of 8952

Frequently Asked Questions on GCF of 8945 and 8952

1. What is the GCF of 8945 and 8952?

Answer: GCF of 8945 and 8952 is 1.

2. What are the Factors of 8945?

Answer: Factors of 8945 are 1, 5, 1789, 8945. There are 4 integers that are factors of 8945. The greatest factor of 8945 is 8945.

3. What are the Factors of 8952?

Answer: Factors of 8952 are 1, 2, 3, 4, 6, 8, 12, 24, 373, 746, 1119, 1492, 2238, 2984, 4476, 8952. There are 16 integers that are factors of 8952. The greatest factor of 8952 is 8952.

4. How to Find the GCF of 8945 and 8952?

Answer:

Greatest Common Factor of 8945 and 8952 = 1

Step 1: Find the prime factorization of 8945

8945 = 5 x 1789

Step 2: Find the prime factorization of 8952

8952 = 2 x 2 x 2 x 3 x 373

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 8945 and 8952 is 1