What is the Greatest Common Factor of 10274 and 10282?
Greatest common factor (GCF) of 10274 and 10282 is 2.
GCF(10274,10282) = 2
We will now calculate the prime factors of 10274 and 10282, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10274 and 10282.
How to find the GCF of 10274 and 10282?
We will first find the prime factorization of 10274 and 10282. After we will calculate the factors of 10274 and 10282 and find the biggest common factor number .
Step-1: Prime Factorization of 10274
Prime factors of 10274 are 2, 11, 467. Prime factorization of 10274 in exponential form is:
10274 = 21 × 111 × 4671
Step-2: Prime Factorization of 10282
Prime factors of 10282 are 2, 53, 97. Prime factorization of 10282 in exponential form is:
10282 = 21 × 531 × 971
Step-3: Factors of 10274
List of positive integer factors of 10274 that divides 10274 without a remainder.
1, 2, 11, 22, 467, 934, 5137
Step-4: Factors of 10282
List of positive integer factors of 10282 that divides 10274 without a remainder.
1, 2, 53, 97, 106, 194, 5141
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 10274 and 10282. The biggest common factor number is the GCF number.
So the greatest common factor 10274 and 10282 is 2.
Also check out the Least Common Multiple of 10274 and 10282
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