What is the Greatest Common Factor of 8710 and 8722?
Greatest common factor (GCF) of 8710 and 8722 is 2.
GCF(8710,8722) = 2
We will now calculate the prime factors of 8710 and 8722, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8710 and 8722.
How to find the GCF of 8710 and 8722?
We will first find the prime factorization of 8710 and 8722. After we will calculate the factors of 8710 and 8722 and find the biggest common factor number .
Step-1: Prime Factorization of 8710
Prime factors of 8710 are 2, 5, 13, 67. Prime factorization of 8710 in exponential form is:
8710 = 21 × 51 × 131 × 671
Step-2: Prime Factorization of 8722
Prime factors of 8722 are 2, 7, 89. Prime factorization of 8722 in exponential form is:
8722 = 21 × 72 × 891
Step-3: Factors of 8710
List of positive integer factors of 8710 that divides 8710 without a remainder.
1, 2, 5, 10, 13, 26, 65, 67, 130, 134, 335, 670, 871, 1742, 4355
Step-4: Factors of 8722
List of positive integer factors of 8722 that divides 8710 without a remainder.
1, 2, 7, 14, 49, 89, 98, 178, 623, 1246, 4361
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 8710 and 8722. The biggest common factor number is the GCF number.
So the greatest common factor 8710 and 8722 is 2.
Also check out the Least Common Multiple of 8710 and 8722
Related Greatest Common Factors of 8710
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Related Greatest Common Factors of 8722
- GCF of 8722 and 8726
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- GCF of 8722 and 8728
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- GCF of 8722 and 8732
- GCF of 8722 and 8733
- GCF of 8722 and 8734
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- GCF of 8722 and 8736
- GCF of 8722 and 8737
- GCF of 8722 and 8738
- GCF of 8722 and 8739
- GCF of 8722 and 8740
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