What is the Greatest Common Factor of 9860 and 9869?
Greatest common factor (GCF) of 9860 and 9869 is 1.
GCF(9860,9869) = 1
We will now calculate the prime factors of 9860 and 9869, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9860 and 9869.
How to find the GCF of 9860 and 9869?
We will first find the prime factorization of 9860 and 9869. After we will calculate the factors of 9860 and 9869 and find the biggest common factor number .
Step-1: Prime Factorization of 9860
Prime factors of 9860 are 2, 5, 17, 29. Prime factorization of 9860 in exponential form is:
9860 = 22 × 51 × 171 × 291
Step-2: Prime Factorization of 9869
Prime factors of 9869 are 71, 139. Prime factorization of 9869 in exponential form is:
9869 = 711 × 1391
Step-3: Factors of 9860
List of positive integer factors of 9860 that divides 9860 without a remainder.
1, 2, 4, 5, 10, 17, 20, 29, 34, 58, 68, 85, 116, 145, 170, 290, 340, 493, 580, 986, 1972, 2465, 4930
Step-4: Factors of 9869
List of positive integer factors of 9869 that divides 9860 without a remainder.
1, 71, 139
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 9860 and 9869. The biggest common factor number is the GCF number.
So the greatest common factor 9860 and 9869 is 1.
Also check out the Least Common Multiple of 9860 and 9869
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Related Greatest Common Factors of 9869
- GCF of 9869 and 9873
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- GCF of 9869 and 9884
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