Greatest Common Factor of 75680 and 75685

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 75680, 75685 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 75680 and 75685 is 5.

GCF(75680,75685) = 5

GCF of 75680 and 75685

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

GCF of:
and

Greatest Common Factor of 75680 and 75685

GCF of 75680 and 75685 is 5

Prime Factorization of 75680


2 75680
2 37840
2 18920
2 9460
2 4730
5 2365
11 473
43 43
1

Prime factors of 75680 are 2,5,11,43. Prime factorization of 75680 in exponential form is:

75680 = 25×51×111×431

Prime Factorization of 75685


5 75685
15137 15137
1

Prime factors of 75685 are 5,15137. Prime factorization of 75685 in exponential form is:

75685 = 51×151371

∴ So by taking common prime factors GCF of 75680 and 75685 is 5

Greatest Common Factor of 75680 and 75685 by matching factors method

Factors of 75680

List of positive integer factors of 75680 that divides 75680 without a remainder.

1,2,4,5,8,10,11,16,20,22,32,40,43,44,55,80,86,88,110,160,172,176,215,220,344,352,430,440,473,688,860,880,946,1376,1720,1760,1892,2365,3440,3784,4730,6880,7568,9460,15136,18920,37840,75680

Factors of 75685

List of positive integer factors of 75685 that divides 75685 without a remainder.

1,5,15137,75685

Greatest Common Factor

We found the factors and prime factorization of 75680 and 75685. The biggest common factor number is the GCF number.
So the greatest common factor 75680 and 75685 is 5.

Also check out the Least Common Multiple of 75680 and 75685

Properties of GCF 75680 and 75685

(i) The GCF of 75680 and 75685 is associative

GCF of 75680 and 75685 = GCF of 75685 and 75680

Related Greatest Common Factor of 75680

Related Greatest Common Factor of 75685

Frequently Asked Questions on GCF of 75680 and 75685

1. What is the GCF of 75680 and 75685?

Answer: GCF of 75680 and 75685 is 5.

2. What are the Factors of 75680?

Answer: Factors of 75680 are 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 32, 40, 43, 44, 55, 80, 86, 88, 110, 160, 172, 176, 215, 220, 344, 352, 430, 440, 473, 688, 860, 880, 946, 1376, 1720, 1760, 1892, 2365, 3440, 3784, 4730, 6880, 7568, 9460, 15136, 18920, 37840, 75680. There are 48 integers that are factors of 75680. The greatest factor of 75680 is 75680.

3. What are the Factors of 75685?

Answer: Factors of 75685 are 1, 5, 15137, 75685. There are 4 integers that are factors of 75685. The greatest factor of 75685 is 75685.

4. How to Find the GCF of 75680 and 75685?

Answer:

Greatest Common Factor of 75680 and 75685 = 5

Step 1: Find the prime factorization of 75680

75680 = 2 x 2 x 2 x 2 x 2 x 5 x 11 x 43

Step 2: Find the prime factorization of 75685

75685 = 5 x 15137

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

GCF = 5

Step 4: Therefore, the greatest common factor of 75680 and 75685 is 5