What is the Greatest Common Factor of 17040 and 17045?
Greatest common factor (GCF) of 17040 and 17045 is 5.
GCF(17040,17045) = 5
We will now calculate the prime factors of 17040 and 17045, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17040 and 17045.
How to find the GCF of 17040 and 17045?
We will first find the prime factorization of 17040 and 17045. After we will calculate the factors of 17040 and 17045 and find the biggest common factor number .
Step-1: Prime Factorization of 17040
Prime factors of 17040 are 2, 3, 5, 71. Prime factorization of 17040 in exponential form is:
17040 = 24 × 31 × 51 × 711
Step-2: Prime Factorization of 17045
Prime factors of 17045 are 5, 7, 487. Prime factorization of 17045 in exponential form is:
17045 = 51 × 71 × 4871
Step-3: Factors of 17040
List of positive integer factors of 17040 that divides 17040 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 71, 80, 120, 142, 213, 240, 284, 355, 426, 568, 710, 852, 1065, 1136, 1420, 1704, 2130, 2840, 3408, 4260, 5680, 8520
Step-4: Factors of 17045
List of positive integer factors of 17045 that divides 17040 without a remainder.
1, 5, 7, 35, 487, 2435, 3409
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 17040 and 17045. The biggest common factor number is the GCF number.
So the greatest common factor 17040 and 17045 is 5.
Also check out the Least Common Multiple of 17040 and 17045
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