Greatest Common Factor of 91 and 98
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 91, 98 i.e. 7 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 91 and 98 is 7.
GCF(91,98) = 7
GCF of 91 and 98
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
- Greatest Common Factor of 91 and 98 by prime factorization method
- Greatest Common Factor of 91 and 98 by matching factors method
GCF of 91 and 98 is 7
Prime Factorization of 91
| 7 | 91 |
| 13 | 13 |
| 1 |
Prime factors of 91 are 7,13. Prime factorization of 91 in exponential form is:
91 = 71×131
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
∴ So by taking common prime factors GCF of 91 and 98 is 7
Greatest Common Factor of 91 and 98 by matching factors method
Factors of 91
List of positive integer factors of 91 that divides 91 without a remainder.
1,7,13,91
Factors of 98
List of positive integer factors of 98 that divides 98 without a remainder.
1,2,7,14,49,98
Greatest Common Factor
We found the factors and prime factorization of 91 and 98. The biggest common factor number is the GCF number.
So the greatest common factor 91 and 98 is 7.
Also check out the Least Common Multiple of 91 and 98
Properties of GCF 91 and 98
(i) The GCF of 91 and 98 is associative
GCF of 91 and 98 = GCF of 98 and 91
Related Greatest Common Factor of 91
Related Greatest Common Factor of 98
Frequently Asked Questions on GCF of 91 and 98
1. What is the GCF of 91 and 98?
Answer: GCF of 91 and 98 is 7.
2. What are the Factors of 91?
Answer: Factors of 91 are 1, 7, 13, 91. There are 4 integers that are factors of 91. The greatest factor of 91 is 91.
3. 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.
4. How to Find the GCF of 91 and 98?
Answer:
Greatest Common Factor of 91 and 98 = 7
Step 1: Find the prime factorization of 91
91 = 7 x 13
Step 2: Find the prime factorization of 98
98 = 2 x 7 x 7
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 7
Step 4: Therefore, the greatest common factor of 91 and 98 is 7
