What is the Greatest Common Factor of 332 and 352?
Greatest common factor (GCF) of 332 and 352 is 4.
GCF(332,352) = 4
We will now calculate the prime factors of 332 and 352, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 332 and 352.
How to find the GCF of 332 and 352?
We will first find the prime factorization of 332 and 352. After we will calculate the factors of 332 and 352 and find the biggest common factor number .
Step-1: Prime Factorization of 332
Prime factors of 332 are 2, 83. Prime factorization of 332 in exponential form is:
332 = 22 × 831
Step-2: Prime Factorization of 352
Prime factors of 352 are 2, 11. Prime factorization of 352 in exponential form is:
352 = 25 × 111
Step-3: Factors of 332
List of positive integer factors of 332 that divides 332 without a remainder.
1, 2, 4, 83, 166
Step-4: Factors of 352
List of positive integer factors of 352 that divides 332 without a remainder.
1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 332 and 352. The biggest common factor number is the GCF number.
So the greatest common factor 332 and 352 is 4.
Also check out the Least Common Multiple of 332 and 352
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