What is the Greatest Common Factor of 8294 and 8304?
Greatest common factor (GCF) of 8294 and 8304 is 2.
GCF(8294,8304) = 2
We will now calculate the prime factors of 8294 and 8304, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8294 and 8304.
How to find the GCF of 8294 and 8304?
We will first find the prime factorization of 8294 and 8304. After we will calculate the factors of 8294 and 8304 and find the biggest common factor number .
Step-1: Prime Factorization of 8294
Prime factors of 8294 are 2, 11, 13, 29. Prime factorization of 8294 in exponential form is:
8294 = 21 × 111 × 131 × 291
Step-2: Prime Factorization of 8304
Prime factors of 8304 are 2, 3, 173. Prime factorization of 8304 in exponential form is:
8304 = 24 × 31 × 1731
Step-3: Factors of 8294
List of positive integer factors of 8294 that divides 8294 without a remainder.
1, 2, 11, 13, 22, 26, 29, 58, 143, 286, 319, 377, 638, 754, 4147
Step-4: Factors of 8304
List of positive integer factors of 8304 that divides 8294 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 173, 346, 519, 692, 1038, 1384, 2076, 2768, 4152
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 8294 and 8304. The biggest common factor number is the GCF number.
So the greatest common factor 8294 and 8304 is 2.
Also check out the Least Common Multiple of 8294 and 8304
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Related Greatest Common Factors of 8304
- GCF of 8304 and 8308
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