Greatest Common Factor of 84 and 103

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 84, 103 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 84 and 103 is 1.

GCF(84,103) = 1

GCF of 84 and 103

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

GCF of:
and

Greatest Common Factor of 84 and 103

GCF of 84 and 103 is 1

Prime Factorization of 84


2 84
2 42
3 21
7 7
1

Prime factors of 84 are 2,3,7. Prime factorization of 84 in exponential form is:

84 = 22×31×71

Prime Factorization of 103


103 103
1

Prime factors of 103 are 103. Prime factorization of 103 in exponential form is:

103 = 1031

∴ So by taking common prime factors GCF of 84 and 103 is 1

Greatest Common Factor of 84 and 103 by matching factors method

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 103

List of positive integer factors of 103 that divides 103 without a remainder.

1,103

Greatest Common Factor

We found the factors and prime factorization of 84 and 103. The biggest common factor number is the GCF number.
So the greatest common factor 84 and 103 is 1.

Also check out the Least Common Multiple of 84 and 103

Properties of GCF 84 and 103

(i) The GCF of 84 and 103 is associative

GCF of 84 and 103 = GCF of 103 and 84

Frequently Asked Questions on GCF of 84 and 103

1. What is the GCF of 84 and 103?

Answer: GCF of 84 and 103 is 1.

2. What are the Factors of 84?

Answer: Factors of 84 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84. There are 12 integers that are factors of 84. The greatest factor of 84 is 84.

3. What are the Factors of 103?

Answer: Factors of 103 are 1, 103. There are 2 integers that are factors of 103. The greatest factor of 103 is 103.

4. How to Find the GCF of 84 and 103?

Answer:

Greatest Common Factor of 84 and 103 = 1

Step 1: Find the prime factorization of 84

84 = 2 x 2 x 3 x 7

Step 2: Find the prime factorization of 103

103 = 103

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 84 and 103 is 1