What is the Greatest Common Factor of 42770 and 42779?
Greatest common factor (GCF) of 42770 and 42779 is 1.
GCF(42770,42779) = 1
We will now calculate the prime factors of 42770 and 42779, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42770 and 42779.
How to find the GCF of 42770 and 42779?
We will first find the prime factorization of 42770 and 42779. After we will calculate the factors of 42770 and 42779 and find the biggest common factor number .
Step-1: Prime Factorization of 42770
Prime factors of 42770 are 2, 5, 7, 13, 47. Prime factorization of 42770 in exponential form is:
42770 = 21 × 51 × 71 × 131 × 471
Step-2: Prime Factorization of 42779
Prime factors of 42779 are 11, 3889. Prime factorization of 42779 in exponential form is:
42779 = 111 × 38891
Step-3: Factors of 42770
List of positive integer factors of 42770 that divides 42770 without a remainder.
1, 2, 5, 7, 10, 13, 14, 26, 35, 47, 65, 70, 91, 94, 130, 182, 235, 329, 455, 470, 611, 658, 910, 1222, 1645, 3055, 3290, 4277, 6110, 8554, 21385
Step-4: Factors of 42779
List of positive integer factors of 42779 that divides 42770 without a remainder.
1, 11, 3889
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 42770 and 42779. The biggest common factor number is the GCF number.
So the greatest common factor 42770 and 42779 is 1.
Also check out the Least Common Multiple of 42770 and 42779
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