What is the Greatest Common Factor of 98312 and 98331?
Greatest common factor (GCF) of 98312 and 98331 is 1.
GCF(98312,98331) = 1
We will now calculate the prime factors of 98312 and 98331, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98312 and 98331.
How to find the GCF of 98312 and 98331?
We will first find the prime factorization of 98312 and 98331. After we will calculate the factors of 98312 and 98331 and find the biggest common factor number .
Step-1: Prime Factorization of 98312
Prime factors of 98312 are 2, 12289. Prime factorization of 98312 in exponential form is:
98312 = 23 × 122891
Step-2: Prime Factorization of 98331
Prime factors of 98331 are 3, 73, 449. Prime factorization of 98331 in exponential form is:
98331 = 31 × 731 × 4491
Step-3: Factors of 98312
List of positive integer factors of 98312 that divides 98312 without a remainder.
1, 2, 4, 8, 12289, 24578, 49156
Step-4: Factors of 98331
List of positive integer factors of 98331 that divides 98312 without a remainder.
1, 3, 73, 219, 449, 1347, 32777
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 98312 and 98331. The biggest common factor number is the GCF number.
So the greatest common factor 98312 and 98331 is 1.
Also check out the Least Common Multiple of 98312 and 98331
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