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Greatest Common Factor of 113 and 117

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 113, 117 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 113 and 117 is 1.

GCF(113,117) = 1

GCF of 113 and 117

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

GCF of:
and

Greatest Common Factor of 113 and 117 by Prime factorization method

Prime Factorization of 113


113 113
1

Prime factors of 113 are 113. Prime factorization of 113 in exponential form is:

113 = 1131

Prime Factorization of 117


3 117
3 39
13 13
1

Prime factors of 117 are 3.Prime factorization of 117 in exponential form is:

117 = 32×131

∴ So by taking common prime factors GCF of 113 and 117 is 1

Greatest Common Factor of 113 and 117 by matching factors method

Factors of 113

List of positive integer factors of 113 that divides 113 without a remainder.

1,113

Factors of 117

List of positive integer factors of 117 that divides 117 without a remainder.

1,3,9,13,39,117

Greatest Common Factor

We found the factors and prime factorization of 113 and 117. The biggest common factor number is the GCF number.
So the greatest common factor 113 and 117 is 1.

Also check out the Least Common Multiple of 113 and 117

Properties of GCF 113 and 117

(i) The GCF of 113 and 117 is associative

GCF of 113 and 117 = GCF of 117 and 113

Frequently Asked Questions on GCF of 113 and 117

1. What is the GCF of 113 and 117?

Answer: GCF of 113 and 117 is 1.

2. What are the Factors of 113?

Answer: Factors of 113 are 1, 113. There are 2 integers that are factors of 113. The greatest factor of 113 is 113.

3. What are the Factors of 117?

Answer: Factors of 117 are 1, 3, 9, 13, 39, 117. There are 6 integers that are factors of 117. The greatest factor of 117 is 117.

4. How to Find the GCF of 113 and 117?

Answer:

Greatest Common Factor of 113 and 117 = 1

Step 1: Find the prime factorization of 113

113 = 113

Step 2: Find the prime factorization of 117

117 = 3 x 3 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 113 and 117 is 1