Greatest Common Factor of 8694 and 8701

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 8694, 8701 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8694 and 8701 is 7.

GCF(8694,8701) = 7

GCF of 8694 and 8701

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

GCF of:
and

Greatest Common Factor of 8694 and 8701

GCF of 8694 and 8701 is 7

Prime Factorization of 8694


2 8694
3 4347
3 1449
3 483
7 161
23 23
1

Prime factors of 8694 are 2,3,7,23. Prime factorization of 8694 in exponential form is:

8694 = 21×33×71×231

Prime Factorization of 8701


7 8701
11 1243
113 113
1

Prime factors of 8701 are 7,11,113. Prime factorization of 8701 in exponential form is:

8701 = 71×111×1131

∴ So by taking common prime factors GCF of 8694 and 8701 is 7

Greatest Common Factor of 8694 and 8701 by matching factors method

Factors of 8694

List of positive integer factors of 8694 that divides 8694 without a remainder.

1,2,3,6,7,9,14,18,21,23,27,42,46,54,63,69,126,138,161,189,207,322,378,414,483,621,966,1242,1449,2898,4347,8694

Factors of 8701

List of positive integer factors of 8701 that divides 8701 without a remainder.

1,7,11,77,113,791,1243,8701

Greatest Common Factor

We found the factors and prime factorization of 8694 and 8701. The biggest common factor number is the GCF number.
So the greatest common factor 8694 and 8701 is 7.

Also check out the Least Common Multiple of 8694 and 8701

Properties of GCF 8694 and 8701

(i) The GCF of 8694 and 8701 is associative

GCF of 8694 and 8701 = GCF of 8701 and 8694

Related Greatest Common Factor of 8694

Related Greatest Common Factor of 8701

Frequently Asked Questions on GCF of 8694 and 8701

1. What is the GCF of 8694 and 8701?

Answer: GCF of 8694 and 8701 is 7.

2. What are the Factors of 8694?

Answer: Factors of 8694 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 23, 27, 42, 46, 54, 63, 69, 126, 138, 161, 189, 207, 322, 378, 414, 483, 621, 966, 1242, 1449, 2898, 4347, 8694. There are 32 integers that are factors of 8694. The greatest factor of 8694 is 8694.

3. What are the Factors of 8701?

Answer: Factors of 8701 are 1, 7, 11, 77, 113, 791, 1243, 8701. There are 8 integers that are factors of 8701. The greatest factor of 8701 is 8701.

4. How to Find the GCF of 8694 and 8701?

Answer:

Greatest Common Factor of 8694 and 8701 = 7

Step 1: Find the prime factorization of 8694

8694 = 2 x 3 x 3 x 3 x 7 x 23

Step 2: Find the prime factorization of 8701

8701 = 7 x 11 x 113

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 8694 and 8701 is 7