What is the Greatest Common Factor of 68811 and 68820?
Greatest common factor (GCF) of 68811 and 68820 is 3.
GCF(68811,68820) = 3
We will now calculate the prime factors of 68811 and 68820, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68811 and 68820.
How to find the GCF of 68811 and 68820?
We will first find the prime factorization of 68811 and 68820. After we will calculate the factors of 68811 and 68820 and find the biggest common factor number .
Step-1: Prime Factorization of 68811
Prime factors of 68811 are 3, 22937. Prime factorization of 68811 in exponential form is:
68811 = 31 × 229371
Step-2: Prime Factorization of 68820
Prime factors of 68820 are 2, 3, 5, 31, 37. Prime factorization of 68820 in exponential form is:
68820 = 22 × 31 × 51 × 311 × 371
Step-3: Factors of 68811
List of positive integer factors of 68811 that divides 68811 without a remainder.
1, 3, 22937
Step-4: Factors of 68820
List of positive integer factors of 68820 that divides 68811 without a remainder.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 31, 37, 60, 62, 74, 93, 111, 124, 148, 155, 185, 186, 222, 310, 370, 372, 444, 465, 555, 620, 740, 930, 1110, 1147, 1860, 2220, 2294, 3441, 4588, 5735, 6882, 11470, 13764, 17205, 22940, 34410
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 68811 and 68820. The biggest common factor number is the GCF number.
So the greatest common factor 68811 and 68820 is 3.
Also check out the Least Common Multiple of 68811 and 68820
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