What is the Greatest Common Factor of 302 and 318?
Greatest common factor (GCF) of 302 and 318 is 2.
GCF(302,318) = 2
We will now calculate the prime factors of 302 and 318, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 302 and 318.
How to find the GCF of 302 and 318?
We will first find the prime factorization of 302 and 318. After we will calculate the factors of 302 and 318 and find the biggest common factor number .
Step-1: Prime Factorization of 302
Prime factors of 302 are 2, 151. Prime factorization of 302 in exponential form is:
302 = 21 × 1511
Step-2: Prime Factorization of 318
Prime factors of 318 are 2, 3, 53. Prime factorization of 318 in exponential form is:
318 = 21 × 31 × 531
Step-3: Factors of 302
List of positive integer factors of 302 that divides 302 without a remainder.
1, 2, 151
Step-4: Factors of 318
List of positive integer factors of 318 that divides 302 without a remainder.
1, 2, 3, 6, 53, 106, 159
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 302 and 318. The biggest common factor number is the GCF number.
So the greatest common factor 302 and 318 is 2.
Also check out the Least Common Multiple of 302 and 318
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