What is the Greatest Common Factor of 98012 and 98016?
Greatest common factor (GCF) of 98012 and 98016 is 4.
GCF(98012,98016) = 4
We will now calculate the prime factors of 98012 and 98016, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98012 and 98016.
How to find the GCF of 98012 and 98016?
We will first find the prime factorization of 98012 and 98016. After we will calculate the factors of 98012 and 98016 and find the biggest common factor number .
Step-1: Prime Factorization of 98012
Prime factors of 98012 are 2, 107, 229. Prime factorization of 98012 in exponential form is:
98012 = 22 × 1071 × 2291
Step-2: Prime Factorization of 98016
Prime factors of 98016 are 2, 3, 1021. Prime factorization of 98016 in exponential form is:
98016 = 25 × 31 × 10211
Step-3: Factors of 98012
List of positive integer factors of 98012 that divides 98012 without a remainder.
1, 2, 4, 107, 214, 229, 428, 458, 916, 24503, 49006
Step-4: Factors of 98016
List of positive integer factors of 98016 that divides 98012 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 1021, 2042, 3063, 4084, 6126, 8168, 12252, 16336, 24504, 32672, 49008
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 98012 and 98016. The biggest common factor number is the GCF number.
So the greatest common factor 98012 and 98016 is 4.
Also check out the Least Common Multiple of 98012 and 98016
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Related Greatest Common Factors of 98016
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