What is the Greatest Common Factor of 2801 and 2820?
Greatest common factor (GCF) of 2801 and 2820 is 1.
GCF(2801,2820) = 1
We will now calculate the prime factors of 2801 and 2820, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2801 and 2820.
How to find the GCF of 2801 and 2820?
We will first find the prime factorization of 2801 and 2820. After we will calculate the factors of 2801 and 2820 and find the biggest common factor number .
Step-1: Prime Factorization of 2801
Prime factors of 2801 are 2801. Prime factorization of 2801 in exponential form is:
2801 = 28011
Step-2: Prime Factorization of 2820
Prime factors of 2820 are 2, 3, 5, 47. Prime factorization of 2820 in exponential form is:
2820 = 22 × 31 × 51 × 471
Step-3: Factors of 2801
List of positive integer factors of 2801 that divides 2801 without a remainder.
1
Step-4: Factors of 2820
List of positive integer factors of 2820 that divides 2801 without a remainder.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 47, 60, 94, 141, 188, 235, 282, 470, 564, 705, 940, 1410
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 2801 and 2820. The biggest common factor number is the GCF number.
So the greatest common factor 2801 and 2820 is 1.
Also check out the Least Common Multiple of 2801 and 2820
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