What is the Greatest Common Factor of 37774 and 37794?
Greatest common factor (GCF) of 37774 and 37794 is 2.
GCF(37774,37794) = 2
We will now calculate the prime factors of 37774 and 37794, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37774 and 37794.
How to find the GCF of 37774 and 37794?
We will first find the prime factorization of 37774 and 37794. After we will calculate the factors of 37774 and 37794 and find the biggest common factor number .
Step-1: Prime Factorization of 37774
Prime factors of 37774 are 2, 11, 17, 101. Prime factorization of 37774 in exponential form is:
37774 = 21 × 111 × 171 × 1011
Step-2: Prime Factorization of 37794
Prime factors of 37794 are 2, 3, 6299. Prime factorization of 37794 in exponential form is:
37794 = 21 × 31 × 62991
Step-3: Factors of 37774
List of positive integer factors of 37774 that divides 37774 without a remainder.
1, 2, 11, 17, 22, 34, 101, 187, 202, 374, 1111, 1717, 2222, 3434, 18887
Step-4: Factors of 37794
List of positive integer factors of 37794 that divides 37774 without a remainder.
1, 2, 3, 6, 6299, 12598, 18897
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 37774 and 37794. The biggest common factor number is the GCF number.
So the greatest common factor 37774 and 37794 is 2.
Also check out the Least Common Multiple of 37774 and 37794
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