What is the Greatest Common Factor of 17262 and 17278?
Greatest common factor (GCF) of 17262 and 17278 is 2.
GCF(17262,17278) = 2
We will now calculate the prime factors of 17262 and 17278, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17262 and 17278.
How to find the GCF of 17262 and 17278?
We will first find the prime factorization of 17262 and 17278. After we will calculate the factors of 17262 and 17278 and find the biggest common factor number .
Step-1: Prime Factorization of 17262
Prime factors of 17262 are 2, 3, 7, 137. Prime factorization of 17262 in exponential form is:
17262 = 21 × 32 × 71 × 1371
Step-2: Prime Factorization of 17278
Prime factors of 17278 are 2, 53, 163. Prime factorization of 17278 in exponential form is:
17278 = 21 × 531 × 1631
Step-3: Factors of 17262
List of positive integer factors of 17262 that divides 17262 without a remainder.
1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126, 137, 274, 411, 822, 959, 1233, 1918, 2466, 2877, 5754, 8631
Step-4: Factors of 17278
List of positive integer factors of 17278 that divides 17262 without a remainder.
1, 2, 53, 106, 163, 326, 8639
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 17262 and 17278. The biggest common factor number is the GCF number.
So the greatest common factor 17262 and 17278 is 2.
Also check out the Least Common Multiple of 17262 and 17278
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