What is the Greatest Common Factor of 21798 and 21808?
Greatest common factor (GCF) of 21798 and 21808 is 2.
GCF(21798,21808) = 2
We will now calculate the prime factors of 21798 and 21808, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21798 and 21808.
How to find the GCF of 21798 and 21808?
We will first find the prime factorization of 21798 and 21808. After we will calculate the factors of 21798 and 21808 and find the biggest common factor number .
Step-1: Prime Factorization of 21798
Prime factors of 21798 are 2, 3, 7, 173. Prime factorization of 21798 in exponential form is:
21798 = 21 × 32 × 71 × 1731
Step-2: Prime Factorization of 21808
Prime factors of 21808 are 2, 29, 47. Prime factorization of 21808 in exponential form is:
21808 = 24 × 291 × 471
Step-3: Factors of 21798
List of positive integer factors of 21798 that divides 21798 without a remainder.
1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126, 173, 346, 519, 1038, 1211, 1557, 2422, 3114, 3633, 7266, 10899
Step-4: Factors of 21808
List of positive integer factors of 21808 that divides 21798 without a remainder.
1, 2, 4, 8, 16, 29, 47, 58, 94, 116, 188, 232, 376, 464, 752, 1363, 2726, 5452, 10904
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 21798 and 21808. The biggest common factor number is the GCF number.
So the greatest common factor 21798 and 21808 is 2.
Also check out the Least Common Multiple of 21798 and 21808
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