Greatest Common Factor of 26616 and 26624

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 26616, 26624 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 26616 and 26624 is 8.

GCF(26616,26624) = 8

GCF of 26616 and 26624

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

GCF of:
and

Greatest Common Factor of 26616 and 26624

GCF of 26616 and 26624 is 8

Prime Factorization of 26616


2 26616
2 13308
2 6654
3 3327
1109 1109
1

Prime factors of 26616 are 2,3,1109. Prime factorization of 26616 in exponential form is:

26616 = 23×31×11091

Prime Factorization of 26624


2 26624
2 13312
2 6656
2 3328
2 1664
2 832
2 416
2 208
2 104
2 52
2 26
13 13
1

Prime factors of 26624 are 2,13. Prime factorization of 26624 in exponential form is:

26624 = 211×131

∴ So by taking common prime factors GCF of 26616 and 26624 is 8

Greatest Common Factor of 26616 and 26624 by matching factors method

Factors of 26616

List of positive integer factors of 26616 that divides 26616 without a remainder.

1,2,3,4,6,8,12,24,1109,2218,3327,4436,6654,8872,13308,26616

Factors of 26624

List of positive integer factors of 26624 that divides 26624 without a remainder.

1,2,4,8,13,16,26,32,52,64,104,128,208,256,416,512,832,1024,1664,2048,3328,6656,13312,26624

Greatest Common Factor

We found the factors and prime factorization of 26616 and 26624. The biggest common factor number is the GCF number.
So the greatest common factor 26616 and 26624 is 8.

Also check out the Least Common Multiple of 26616 and 26624

Properties of GCF 26616 and 26624

(i) The GCF of 26616 and 26624 is associative

GCF of 26616 and 26624 = GCF of 26624 and 26616

Related Greatest Common Factor of 26616

Related Greatest Common Factor of 26624

Frequently Asked Questions on GCF of 26616 and 26624

1. What is the GCF of 26616 and 26624?

Answer: GCF of 26616 and 26624 is 8.

2. What are the Factors of 26616?

Answer: Factors of 26616 are 1, 2, 3, 4, 6, 8, 12, 24, 1109, 2218, 3327, 4436, 6654, 8872, 13308, 26616. There are 16 integers that are factors of 26616. The greatest factor of 26616 is 26616.

3. What are the Factors of 26624?

Answer: Factors of 26624 are 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 128, 208, 256, 416, 512, 832, 1024, 1664, 2048, 3328, 6656, 13312, 26624. There are 24 integers that are factors of 26624. The greatest factor of 26624 is 26624.

4. How to Find the GCF of 26616 and 26624?

Answer:

Greatest Common Factor of 26616 and 26624 = 8

Step 1: Find the prime factorization of 26616

26616 = 2 x 2 x 2 x 3 x 1109

Step 2: Find the prime factorization of 26624

26624 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 13

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

GCF = 2 x 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 26616 and 26624 is 8