What is the Greatest Common Factor of 98408 and 98416?
Greatest common factor (GCF) of 98408 and 98416 is 8.
GCF(98408,98416) = 8
We will now calculate the prime factors of 98408 and 98416, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98408 and 98416.
How to find the GCF of 98408 and 98416?
We will first find the prime factorization of 98408 and 98416. After we will calculate the factors of 98408 and 98416 and find the biggest common factor number .
Step-1: Prime Factorization of 98408
Prime factors of 98408 are 2, 12301. Prime factorization of 98408 in exponential form is:
98408 = 23 × 123011
Step-2: Prime Factorization of 98416
Prime factors of 98416 are 2, 6151. Prime factorization of 98416 in exponential form is:
98416 = 24 × 61511
Step-3: Factors of 98408
List of positive integer factors of 98408 that divides 98408 without a remainder.
1, 2, 4, 8, 12301, 24602, 49204
Step-4: Factors of 98416
List of positive integer factors of 98416 that divides 98408 without a remainder.
1, 2, 4, 8, 16, 6151, 12302, 24604, 49208
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 98408 and 98416. The biggest common factor number is the GCF number.
So the greatest common factor 98408 and 98416 is 8.
Also check out the Least Common Multiple of 98408 and 98416
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