What is the Greatest Common Factor of 98452 and 98460?
Greatest common factor (GCF) of 98452 and 98460 is 4.
GCF(98452,98460) = 4
We will now calculate the prime factors of 98452 and 98460, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98452 and 98460.
How to find the GCF of 98452 and 98460?
We will first find the prime factorization of 98452 and 98460. After we will calculate the factors of 98452 and 98460 and find the biggest common factor number .
Step-1: Prime Factorization of 98452
Prime factors of 98452 are 2, 151, 163. Prime factorization of 98452 in exponential form is:
98452 = 22 × 1511 × 1631
Step-2: Prime Factorization of 98460
Prime factors of 98460 are 2, 3, 5, 547. Prime factorization of 98460 in exponential form is:
98460 = 22 × 32 × 51 × 5471
Step-3: Factors of 98452
List of positive integer factors of 98452 that divides 98452 without a remainder.
1, 2, 4, 151, 163, 302, 326, 604, 652, 24613, 49226
Step-4: Factors of 98460
List of positive integer factors of 98460 that divides 98452 without a remainder.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180, 547, 1094, 1641, 2188, 2735, 3282, 4923, 5470, 6564, 8205, 9846, 10940, 16410, 19692, 24615, 32820, 49230
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 98452 and 98460. The biggest common factor number is the GCF number.
So the greatest common factor 98452 and 98460 is 4.
Also check out the Least Common Multiple of 98452 and 98460
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Related Greatest Common Factors of 98460
- GCF of 98460 and 98464
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