Greatest Common Factor of 88 and 91

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 88, 91 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 88 and 91 is 1.

GCF(88,91) = 1

GCF of 88 and 91

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

GCF of:
and

Greatest Common Factor of 88 and 91

GCF of 88 and 91 is 1

Prime Factorization of 88


2 88
2 44
2 22
11 11
1

Prime factors of 88 are 2,11. Prime factorization of 88 in exponential form is:

88 = 23×111

Prime Factorization of 91


7 91
13 13
1

Prime factors of 91 are 7,13. Prime factorization of 91 in exponential form is:

91 = 71×131

∴ So by taking common prime factors GCF of 88 and 91 is 1

Greatest Common Factor of 88 and 91 by matching factors method

Factors of 88

List of positive integer factors of 88 that divides 88 without a remainder.

1,2,4,8,11,22,44,88

Factors of 91

List of positive integer factors of 91 that divides 91 without a remainder.

1,7,13,91

Greatest Common Factor

We found the factors and prime factorization of 88 and 91. The biggest common factor number is the GCF number.
So the greatest common factor 88 and 91 is 1.

Also check out the Least Common Multiple of 88 and 91

Properties of GCF 88 and 91

(i) The GCF of 88 and 91 is associative

GCF of 88 and 91 = GCF of 91 and 88

Related Greatest Common Factor of 88

Related Greatest Common Factor of 91

Frequently Asked Questions on GCF of 88 and 91

1. What is the GCF of 88 and 91?

Answer: GCF of 88 and 91 is 1.

2. What are the Factors of 88?

Answer: Factors of 88 are 1, 2, 4, 8, 11, 22, 44, 88. There are 8 integers that are factors of 88. The greatest factor of 88 is 88.

3. What are the Factors of 91?

Answer: Factors of 91 are 1, 7, 13, 91. There are 4 integers that are factors of 91. The greatest factor of 91 is 91.

4. How to Find the GCF of 88 and 91?

Answer:

Greatest Common Factor of 88 and 91 = 1

Step 1: Find the prime factorization of 88

88 = 2 x 2 x 2 x 11

Step 2: Find the prime factorization of 91

91 = 7 x 13

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 88 and 91 is 1