What is the Greatest Common Factor of 16758 and 16768?
Greatest common factor (GCF) of 16758 and 16768 is 2.
GCF(16758,16768) = 2
We will now calculate the prime factors of 16758 and 16768, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16758 and 16768.
How to find the GCF of 16758 and 16768?
We will first find the prime factorization of 16758 and 16768. After we will calculate the factors of 16758 and 16768 and find the biggest common factor number .
Step-1: Prime Factorization of 16758
Prime factors of 16758 are 2, 3, 7, 19. Prime factorization of 16758 in exponential form is:
16758 = 21 × 32 × 72 × 191
Step-2: Prime Factorization of 16768
Prime factors of 16768 are 2, 131. Prime factorization of 16768 in exponential form is:
16768 = 27 × 1311
Step-3: Factors of 16758
List of positive integer factors of 16758 that divides 16758 without a remainder.
1, 2, 3, 6, 7, 9, 14, 18, 19, 21, 38, 42, 49, 57, 63, 98, 114, 126, 133, 147, 171, 266, 294, 342, 399, 441, 798, 882, 931, 1197, 1862, 2394, 2793, 5586, 8379
Step-4: Factors of 16768
List of positive integer factors of 16768 that divides 16758 without a remainder.
1, 2, 4, 8, 16, 32, 64, 128, 131, 262, 524, 1048, 2096, 4192, 8384
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 16758 and 16768. The biggest common factor number is the GCF number.
So the greatest common factor 16758 and 16768 is 2.
Also check out the Least Common Multiple of 16758 and 16768
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Related Greatest Common Factors of 16768
- GCF of 16768 and 16772
- GCF of 16768 and 16773
- GCF of 16768 and 16774
- GCF of 16768 and 16775
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- GCF of 16768 and 16777
- GCF of 16768 and 16778
- GCF of 16768 and 16779
- GCF of 16768 and 16780
- GCF of 16768 and 16781
- GCF of 16768 and 16782
- GCF of 16768 and 16783
- GCF of 16768 and 16784
- GCF of 16768 and 16785
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