What is the Greatest Common Factor of 9232 and 9248?
Greatest common factor (GCF) of 9232 and 9248 is 16.
GCF(9232,9248) = 16
We will now calculate the prime factors of 9232 and 9248, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9232 and 9248.
How to find the GCF of 9232 and 9248?
We will first find the prime factorization of 9232 and 9248. After we will calculate the factors of 9232 and 9248 and find the biggest common factor number .
Step-1: Prime Factorization of 9232
Prime factors of 9232 are 2, 577. Prime factorization of 9232 in exponential form is:
9232 = 24 × 5771
Step-2: Prime Factorization of 9248
Prime factors of 9248 are 2, 17. Prime factorization of 9248 in exponential form is:
9248 = 25 × 172
Step-3: Factors of 9232
List of positive integer factors of 9232 that divides 9232 without a remainder.
1, 2, 4, 8, 16, 577, 1154, 2308, 4616
Step-4: Factors of 9248
List of positive integer factors of 9248 that divides 9232 without a remainder.
1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 289, 544, 578, 1156, 2312, 4624
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 9232 and 9248. The biggest common factor number is the GCF number.
So the greatest common factor 9232 and 9248 is 16.
Also check out the Least Common Multiple of 9232 and 9248
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