What is the Greatest Common Factor of 67832 and 67840?
Greatest common factor (GCF) of 67832 and 67840 is 8.
GCF(67832,67840) = 8
We will now calculate the prime factors of 67832 and 67840, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67832 and 67840.
How to find the GCF of 67832 and 67840?
We will first find the prime factorization of 67832 and 67840. After we will calculate the factors of 67832 and 67840 and find the biggest common factor number .
Step-1: Prime Factorization of 67832
Prime factors of 67832 are 2, 61, 139. Prime factorization of 67832 in exponential form is:
67832 = 23 × 611 × 1391
Step-2: Prime Factorization of 67840
Prime factors of 67840 are 2, 5, 53. Prime factorization of 67840 in exponential form is:
67840 = 28 × 51 × 531
Step-3: Factors of 67832
List of positive integer factors of 67832 that divides 67832 without a remainder.
1, 2, 4, 8, 61, 122, 139, 244, 278, 488, 556, 1112, 8479, 16958, 33916
Step-4: Factors of 67840
List of positive integer factors of 67840 that divides 67832 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 53, 64, 80, 106, 128, 160, 212, 256, 265, 320, 424, 530, 640, 848, 1060, 1280, 1696, 2120, 3392, 4240, 6784, 8480, 13568, 16960, 33920
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 67832 and 67840. The biggest common factor number is the GCF number.
So the greatest common factor 67832 and 67840 is 8.
Also check out the Least Common Multiple of 67832 and 67840
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Related Greatest Common Factors of 67840
- GCF of 67840 and 67844
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- GCF of 67840 and 67849
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