Greatest Common Factor 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

Prime Factorization of 91

Prime factors of 91 are 7,13. Prime factorization of 91 in exponential form is:

91 = 7¹×13¹

Prime Factorization of 98

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

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

(i) The GCF of 91 and 98 is associative

GCF of 91 and 98 = GCF of 98 and 91

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