What is the Greatest Common Factor of 17354 and 17364?
Greatest common factor (GCF) of 17354 and 17364 is 2.
GCF(17354,17364) = 2
We will now calculate the prime factors of 17354 and 17364, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17354 and 17364.
How to find the GCF of 17354 and 17364?
We will first find the prime factorization of 17354 and 17364. After we will calculate the factors of 17354 and 17364 and find the biggest common factor number .
Step-1: Prime Factorization of 17354
Prime factors of 17354 are 2, 8677. Prime factorization of 17354 in exponential form is:
17354 = 21 × 86771
Step-2: Prime Factorization of 17364
Prime factors of 17364 are 2, 3, 1447. Prime factorization of 17364 in exponential form is:
17364 = 22 × 31 × 14471
Step-3: Factors of 17354
List of positive integer factors of 17354 that divides 17354 without a remainder.
1, 2, 8677
Step-4: Factors of 17364
List of positive integer factors of 17364 that divides 17354 without a remainder.
1, 2, 3, 4, 6, 12, 1447, 2894, 4341, 5788, 8682
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 17354 and 17364. The biggest common factor number is the GCF number.
So the greatest common factor 17354 and 17364 is 2.
Also check out the Least Common Multiple of 17354 and 17364
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