What is the Greatest Common Factor of 8742 and 8751?
Greatest common factor (GCF) of 8742 and 8751 is 3.
GCF(8742,8751) = 3
We will now calculate the prime factors of 8742 and 8751, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8742 and 8751.
How to find the GCF of 8742 and 8751?
We will first find the prime factorization of 8742 and 8751. After we will calculate the factors of 8742 and 8751 and find the biggest common factor number .
Step-1: Prime Factorization of 8742
Prime factors of 8742 are 2, 3, 31, 47. Prime factorization of 8742 in exponential form is:
8742 = 21 × 31 × 311 × 471
Step-2: Prime Factorization of 8751
Prime factors of 8751 are 3, 2917. Prime factorization of 8751 in exponential form is:
8751 = 31 × 29171
Step-3: Factors of 8742
List of positive integer factors of 8742 that divides 8742 without a remainder.
1, 2, 3, 6, 31, 47, 62, 93, 94, 141, 186, 282, 1457, 2914, 4371
Step-4: Factors of 8751
List of positive integer factors of 8751 that divides 8742 without a remainder.
1, 3, 2917
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 8742 and 8751. The biggest common factor number is the GCF number.
So the greatest common factor 8742 and 8751 is 3.
Also check out the Least Common Multiple of 8742 and 8751
Related Greatest Common Factors of 8742
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Related Greatest Common Factors of 8751
- GCF of 8751 and 8755
- GCF of 8751 and 8756
- GCF of 8751 and 8757
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- GCF of 8751 and 8763
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- GCF of 8751 and 8765
- GCF of 8751 and 8766
- GCF of 8751 and 8767
- GCF of 8751 and 8768
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