What is the Greatest Common Factor of 42790 and 42796?
Greatest common factor (GCF) of 42790 and 42796 is 2.
GCF(42790,42796) = 2
We will now calculate the prime factors of 42790 and 42796, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42790 and 42796.
How to find the GCF of 42790 and 42796?
We will first find the prime factorization of 42790 and 42796. After we will calculate the factors of 42790 and 42796 and find the biggest common factor number .
Step-1: Prime Factorization of 42790
Prime factors of 42790 are 2, 5, 11, 389. Prime factorization of 42790 in exponential form is:
42790 = 21 × 51 × 111 × 3891
Step-2: Prime Factorization of 42796
Prime factors of 42796 are 2, 13, 823. Prime factorization of 42796 in exponential form is:
42796 = 22 × 131 × 8231
Step-3: Factors of 42790
List of positive integer factors of 42790 that divides 42790 without a remainder.
1, 2, 5, 10, 11, 22, 55, 110, 389, 778, 1945, 3890, 4279, 8558, 21395
Step-4: Factors of 42796
List of positive integer factors of 42796 that divides 42790 without a remainder.
1, 2, 4, 13, 26, 52, 823, 1646, 3292, 10699, 21398
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 42790 and 42796. The biggest common factor number is the GCF number.
So the greatest common factor 42790 and 42796 is 2.
Also check out the Least Common Multiple of 42790 and 42796
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