Greatest Common Factor of 98 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 98, 103 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 98 and 103 is 1.

GCF(98,103) = 1

GCF of 98 and 103

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

GCF of:
and

Greatest Common Factor of 98 and 103

GCF of 98 and 103 is 1

Prime Factorization of 98


2 98
7 49
7 7
1

Prime factors of 98 are 2,7. Prime factorization of 98 in exponential form is:

98 = 21×72

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 98 and 103 is 1

Greatest Common Factor of 98 and 103 by matching factors method

Factors of 98

List of positive integer factors of 98 that divides 98 without a remainder.

1,2,7,14,49,98

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 98 and 103. The biggest common factor number is the GCF number.
So the greatest common factor 98 and 103 is 1.

Also check out the Least Common Multiple of 98 and 103

Properties of GCF 98 and 103

(i) The GCF of 98 and 103 is associative

GCF of 98 and 103 = GCF of 103 and 98

Related Greatest Common Factor of 98

Related Greatest Common Factor of 103

Frequently Asked Questions on GCF of 98 and 103

1. What is the GCF of 98 and 103?

Answer: GCF of 98 and 103 is 1.

2. What are the Factors of 98?

Answer: Factors of 98 are 1, 2, 7, 14, 49, 98. There are 6 integers that are factors of 98. The greatest factor of 98 is 98.

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 98 and 103?

Answer:

Greatest Common Factor of 98 and 103 = 1

Step 1: Find the prime factorization of 98

98 = 2 x 7 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 98 and 103 is 1