Greatest Common Factor of 87760 and 87763

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 87760, 87763 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 87760 and 87763 is 1.

GCF(87760,87763) = 1

GCF of 87760 and 87763

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

GCF of:
and

Greatest Common Factor of 87760 and 87763

GCF of 87760 and 87763 is 1

Prime Factorization of 87760


2 87760
2 43880
2 21940
2 10970
5 5485
1097 1097
1

Prime factors of 87760 are 2,5,1097. Prime factorization of 87760 in exponential form is:

87760 = 24×51×10971

Prime Factorization of 87763


13 87763
43 6751
157 157
1

Prime factors of 87763 are 13,43,157. Prime factorization of 87763 in exponential form is:

87763 = 131×431×1571

∴ So by taking common prime factors GCF of 87760 and 87763 is 1

Greatest Common Factor of 87760 and 87763 by matching factors method

Factors of 87760

List of positive integer factors of 87760 that divides 87760 without a remainder.

1,2,4,5,8,10,16,20,40,80,1097,2194,4388,5485,8776,10970,17552,21940,43880,87760

Factors of 87763

List of positive integer factors of 87763 that divides 87763 without a remainder.

1,13,43,157,559,2041,6751,87763

Greatest Common Factor

We found the factors and prime factorization of 87760 and 87763. The biggest common factor number is the GCF number.
So the greatest common factor 87760 and 87763 is 1.

Also check out the Least Common Multiple of 87760 and 87763

Properties of GCF 87760 and 87763

(i) The GCF of 87760 and 87763 is associative

GCF of 87760 and 87763 = GCF of 87763 and 87760

Frequently Asked Questions on GCF of 87760 and 87763

1. What is the GCF of 87760 and 87763?

Answer: GCF of 87760 and 87763 is 1.

2. What are the Factors of 87760?

Answer: Factors of 87760 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 1097, 2194, 4388, 5485, 8776, 10970, 17552, 21940, 43880, 87760. There are 20 integers that are factors of 87760. The greatest factor of 87760 is 87760.

3. What are the Factors of 87763?

Answer: Factors of 87763 are 1, 13, 43, 157, 559, 2041, 6751, 87763. There are 8 integers that are factors of 87763. The greatest factor of 87763 is 87763.

4. How to Find the GCF of 87760 and 87763?

Answer:

Greatest Common Factor of 87760 and 87763 = 1

Step 1: Find the prime factorization of 87760

87760 = 2 x 2 x 2 x 2 x 5 x 1097

Step 2: Find the prime factorization of 87763

87763 = 13 x 43 x 157

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 87760 and 87763 is 1