Greatest Common Factor of 102 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 102, 107 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 102 and 107 is 1.

GCF(102,107) = 1

GCF of 102 and 107

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

GCF of:
and

Greatest Common Factor of 102 and 107

GCF of 102 and 107 is 1

Prime Factorization of 102


2 102
3 51
17 17
1

Prime factors of 102 are 2,3,17. Prime factorization of 102 in exponential form is:

102 = 21×31×171

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 102 and 107 is 1

Greatest Common Factor of 102 and 107 by matching factors method

Factors of 102

List of positive integer factors of 102 that divides 102 without a remainder.

1,2,3,6,17,34,51,102

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 102 and 107. The biggest common factor number is the GCF number.
So the greatest common factor 102 and 107 is 1.

Also check out the Least Common Multiple of 102 and 107

Properties of GCF 102 and 107

(i) The GCF of 102 and 107 is associative

GCF of 102 and 107 = GCF of 107 and 102

Related Greatest Common Factor of 102

Related Greatest Common Factor of 107

Frequently Asked Questions on GCF of 102 and 107

1. What is the GCF of 102 and 107?

Answer: GCF of 102 and 107 is 1.

2. What are the Factors of 102?

Answer: Factors of 102 are 1, 2, 3, 6, 17, 34, 51, 102. There are 8 integers that are factors of 102. The greatest factor of 102 is 102.

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 102 and 107?

Answer:

Greatest Common Factor of 102 and 107 = 1

Step 1: Find the prime factorization of 102

102 = 2 x 3 x 17

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 102 and 107 is 1