What is the Greatest Common Factor of 40296 and 40302?
Greatest common factor (GCF) of 40296 and 40302 is 6.
GCF(40296,40302) = 6
We will now calculate the prime factors of 40296 and 40302, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40296 and 40302.
How to find the GCF of 40296 and 40302?
We will first find the prime factorization of 40296 and 40302. After we will calculate the factors of 40296 and 40302 and find the biggest common factor number .
Step-1: Prime Factorization of 40296
Prime factors of 40296 are 2, 3, 23, 73. Prime factorization of 40296 in exponential form is:
40296 = 23 × 31 × 231 × 731
Step-2: Prime Factorization of 40302
Prime factors of 40302 are 2, 3, 2239. Prime factorization of 40302 in exponential form is:
40302 = 21 × 32 × 22391
Step-3: Factors of 40296
List of positive integer factors of 40296 that divides 40296 without a remainder.
1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 73, 92, 138, 146, 184, 219, 276, 292, 438, 552, 584, 876, 1679, 1752, 3358, 5037, 6716, 10074, 13432, 20148
Step-4: Factors of 40302
List of positive integer factors of 40302 that divides 40296 without a remainder.
1, 2, 3, 6, 9, 18, 2239, 4478, 6717, 13434, 20151
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 40296 and 40302. The biggest common factor number is the GCF number.
So the greatest common factor 40296 and 40302 is 6.
Also check out the Least Common Multiple of 40296 and 40302
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