What is the Greatest Common Factor of 67996 and 68000?
Greatest common factor (GCF) of 67996 and 68000 is 4.
GCF(67996,68000) = 4
We will now calculate the prime factors of 67996 and 68000, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67996 and 68000.
How to find the GCF of 67996 and 68000?
We will first find the prime factorization of 67996 and 68000. After we will calculate the factors of 67996 and 68000 and find the biggest common factor number .
Step-1: Prime Factorization of 67996
Prime factors of 67996 are 2, 89, 191. Prime factorization of 67996 in exponential form is:
67996 = 22 × 891 × 1911
Step-2: Prime Factorization of 68000
Prime factors of 68000 are 2, 5, 17. Prime factorization of 68000 in exponential form is:
68000 = 25 × 53 × 171
Step-3: Factors of 67996
List of positive integer factors of 67996 that divides 67996 without a remainder.
1, 2, 4, 89, 178, 191, 356, 382, 764, 16999, 33998
Step-4: Factors of 68000
List of positive integer factors of 68000 that divides 67996 without a remainder.
1, 2, 4, 5, 8, 10, 16, 17, 20, 25, 32, 34, 40, 50, 68, 80, 85, 100, 125, 136, 160, 170, 200, 250, 272, 340, 400, 425, 500, 544, 680, 800, 850, 1000, 1360, 1700, 2000, 2125, 2720, 3400, 4000, 4250, 6800, 8500, 13600, 17000, 34000
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 67996 and 68000. The biggest common factor number is the GCF number.
So the greatest common factor 67996 and 68000 is 4.
Also check out the Least Common Multiple of 67996 and 68000
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