What is the Greatest Common Factor of 10283 and 10302?
Greatest common factor (GCF) of 10283 and 10302 is 1.
GCF(10283,10302) = 1
We will now calculate the prime factors of 10283 and 10302, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10283 and 10302.
How to find the GCF of 10283 and 10302?
We will first find the prime factorization of 10283 and 10302. After we will calculate the factors of 10283 and 10302 and find the biggest common factor number .
Step-1: Prime Factorization of 10283
Prime factors of 10283 are 7, 13, 113. Prime factorization of 10283 in exponential form is:
10283 = 71 × 131 × 1131
Step-2: Prime Factorization of 10302
Prime factors of 10302 are 2, 3, 17, 101. Prime factorization of 10302 in exponential form is:
10302 = 21 × 31 × 171 × 1011
Step-3: Factors of 10283
List of positive integer factors of 10283 that divides 10283 without a remainder.
1, 7, 13, 91, 113, 791, 1469
Step-4: Factors of 10302
List of positive integer factors of 10302 that divides 10283 without a remainder.
1, 2, 3, 6, 17, 34, 51, 101, 102, 202, 303, 606, 1717, 3434, 5151
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 10283 and 10302. The biggest common factor number is the GCF number.
So the greatest common factor 10283 and 10302 is 1.
Also check out the Least Common Multiple of 10283 and 10302
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