Greatest Common Factor of 100 and 107

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 100, 107 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 100 and 107 is 1.

GCF(100,107) = 1

GCF of 100 and 107

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

GCF of:
and

Greatest Common Factor of 100 and 107

GCF of 100 and 107 is 1

Prime Factorization of 100


2 100
2 50
5 25
5 5
1

Prime factors of 100 are 2,5. Prime factorization of 100 in exponential form is:

100 = 22×52

Prime Factorization of 107


107 107
1

Prime factors of 107 are 107. Prime factorization of 107 in exponential form is:

107 = 1071

∴ So by taking common prime factors GCF of 100 and 107 is 1

Greatest Common Factor of 100 and 107 by matching factors method

Factors of 100

List of positive integer factors of 100 that divides 100 without a remainder.

1,2,4,5,10,20,25,50,100

Factors of 107

List of positive integer factors of 107 that divides 107 without a remainder.

1,107

Greatest Common Factor

We found the factors and prime factorization of 100 and 107. The biggest common factor number is the GCF number.
So the greatest common factor 100 and 107 is 1.

Also check out the Least Common Multiple of 100 and 107

Properties of GCF 100 and 107

(i) The GCF of 100 and 107 is associative

GCF of 100 and 107 = GCF of 107 and 100

Related Greatest Common Factor of 100

Related Greatest Common Factor of 107

Frequently Asked Questions on GCF of 100 and 107

1. What is the GCF of 100 and 107?

Answer: GCF of 100 and 107 is 1.

2. What are the Factors of 100?

Answer: Factors of 100 are 1, 2, 4, 5, 10, 20, 25, 50, 100. There are 9 integers that are factors of 100. The greatest factor of 100 is 100.

3. What are the Factors of 107?

Answer: Factors of 107 are 1, 107. There are 2 integers that are factors of 107. The greatest factor of 107 is 107.

4. How to Find the GCF of 100 and 107?

Answer:

Greatest Common Factor of 100 and 107 = 1

Step 1: Find the prime factorization of 100

100 = 2 x 2 x 5 x 5

Step 2: Find the prime factorization of 107

107 = 107

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 100 and 107 is 1