What is the Greatest Common Factor of 98 and 109?
Greatest common factor (GCF) of 98 and 109 is 1.
GCF(98,109) = 1
We will now calculate the prime factors of 98 and 109, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98 and 109.
How to find the GCF of 98 and 109?
We will first find the prime factorization of 98 and 109. After we will calculate the factors of 98 and 109 and find the biggest common factor number .
Step-1: Prime Factorization of 98
Prime factors of 98 are 2, 7. Prime factorization of 98 in exponential form is:
98 = 21 × 72
Step-2: Prime Factorization of 109
Prime factors of 109 are 109. Prime factorization of 109 in exponential form is:
109 = 1091
Step-3: Factors of 98
List of positive integer factors of 98 that divides 98 without a remainder.
1, 2, 7, 14, 49
Step-4: Factors of 109
List of positive integer factors of 109 that divides 98 without a remainder.
1
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 98 and 109. The biggest common factor number is the GCF number.
So the greatest common factor 98 and 109 is 1.
Also check out the Least Common Multiple of 98 and 109
Related Greatest Common Factors of 98
- GCF of 98 and 102
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Related Greatest Common Factors of 109
- GCF of 109 and 113
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