What is the Greatest Common Factor of 16525 and 16545?
Greatest common factor (GCF) of 16525 and 16545 is 5.
GCF(16525,16545) = 5
We will now calculate the prime factors of 16525 and 16545, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16525 and 16545.
How to find the GCF of 16525 and 16545?
We will first find the prime factorization of 16525 and 16545. After we will calculate the factors of 16525 and 16545 and find the biggest common factor number .
Step-1: Prime Factorization of 16525
Prime factors of 16525 are 5, 661. Prime factorization of 16525 in exponential form is:
16525 = 52 × 6611
Step-2: Prime Factorization of 16545
Prime factors of 16545 are 3, 5, 1103. Prime factorization of 16545 in exponential form is:
16545 = 31 × 51 × 11031
Step-3: Factors of 16525
List of positive integer factors of 16525 that divides 16525 without a remainder.
1, 5, 25, 661, 3305
Step-4: Factors of 16545
List of positive integer factors of 16545 that divides 16525 without a remainder.
1, 3, 5, 15, 1103, 3309, 5515
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 16525 and 16545. The biggest common factor number is the GCF number.
So the greatest common factor 16525 and 16545 is 5.
Also check out the Least Common Multiple of 16525 and 16545
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