What is the Greatest Common Factor of 360 and 376?
Greatest common factor (GCF) of 360 and 376 is 8.
GCF(360,376) = 8
We will now calculate the prime factors of 360 and 376, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 360 and 376.
How to find the GCF of 360 and 376?
We will first find the prime factorization of 360 and 376. After we will calculate the factors of 360 and 376 and find the biggest common factor number .
Step-1: Prime Factorization of 360
Prime factors of 360 are 2, 3, 5. Prime factorization of 360 in exponential form is:
360 = 23 × 32 × 51
Step-2: Prime Factorization of 376
Prime factors of 376 are 2, 47. Prime factorization of 376 in exponential form is:
376 = 23 × 471
Step-3: Factors of 360
List of positive integer factors of 360 that divides 360 without a remainder.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180
Step-4: Factors of 376
List of positive integer factors of 376 that divides 360 without a remainder.
1, 2, 4, 8, 47, 94, 188
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 360 and 376. The biggest common factor number is the GCF number.
So the greatest common factor 360 and 376 is 8.
Also check out the Least Common Multiple of 360 and 376
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