What is the Greatest Common Factor of 98148 and 98158?
Greatest common factor (GCF) of 98148 and 98158 is 2.
GCF(98148,98158) = 2
We will now calculate the prime factors of 98148 and 98158, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98148 and 98158.
How to find the GCF of 98148 and 98158?
We will first find the prime factorization of 98148 and 98158. After we will calculate the factors of 98148 and 98158 and find the biggest common factor number .
Step-1: Prime Factorization of 98148
Prime factors of 98148 are 2, 3, 8179. Prime factorization of 98148 in exponential form is:
98148 = 22 × 31 × 81791
Step-2: Prime Factorization of 98158
Prime factors of 98158 are 2, 17, 2887. Prime factorization of 98158 in exponential form is:
98158 = 21 × 171 × 28871
Step-3: Factors of 98148
List of positive integer factors of 98148 that divides 98148 without a remainder.
1, 2, 3, 4, 6, 12, 8179, 16358, 24537, 32716, 49074
Step-4: Factors of 98158
List of positive integer factors of 98158 that divides 98148 without a remainder.
1, 2, 17, 34, 2887, 5774, 49079
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 98148 and 98158. The biggest common factor number is the GCF number.
So the greatest common factor 98148 and 98158 is 2.
Also check out the Least Common Multiple of 98148 and 98158
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