What is the Greatest Common Factor of 17498 and 17502?
Greatest common factor (GCF) of 17498 and 17502 is 2.
GCF(17498,17502) = 2
We will now calculate the prime factors of 17498 and 17502, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17498 and 17502.
How to find the GCF of 17498 and 17502?
We will first find the prime factorization of 17498 and 17502. After we will calculate the factors of 17498 and 17502 and find the biggest common factor number .
Step-1: Prime Factorization of 17498
Prime factors of 17498 are 2, 13, 673. Prime factorization of 17498 in exponential form is:
17498 = 21 × 131 × 6731
Step-2: Prime Factorization of 17502
Prime factors of 17502 are 2, 3, 2917. Prime factorization of 17502 in exponential form is:
17502 = 21 × 31 × 29171
Step-3: Factors of 17498
List of positive integer factors of 17498 that divides 17498 without a remainder.
1, 2, 13, 26, 673, 1346, 8749
Step-4: Factors of 17502
List of positive integer factors of 17502 that divides 17498 without a remainder.
1, 2, 3, 6, 2917, 5834, 8751
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 17498 and 17502. The biggest common factor number is the GCF number.
So the greatest common factor 17498 and 17502 is 2.
Also check out the Least Common Multiple of 17498 and 17502
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Related Greatest Common Factors of 17502
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