What is the Greatest Common Factor of 73774 and 73794?
Greatest common factor (GCF) of 73774 and 73794 is 2.
GCF(73774,73794) = 2
We will now calculate the prime factors of 73774 and 73794, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73774 and 73794.
How to find the GCF of 73774 and 73794?
We will first find the prime factorization of 73774 and 73794. After we will calculate the factors of 73774 and 73794 and find the biggest common factor number .
Step-1: Prime Factorization of 73774
Prime factors of 73774 are 2, 36887. Prime factorization of 73774 in exponential form is:
73774 = 21 × 368871
Step-2: Prime Factorization of 73794
Prime factors of 73794 are 2, 3, 7, 251. Prime factorization of 73794 in exponential form is:
73794 = 21 × 31 × 72 × 2511
Step-3: Factors of 73774
List of positive integer factors of 73774 that divides 73774 without a remainder.
1, 2, 36887
Step-4: Factors of 73794
List of positive integer factors of 73794 that divides 73774 without a remainder.
1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 251, 294, 502, 753, 1506, 1757, 3514, 5271, 10542, 12299, 24598, 36897
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 73774 and 73794. The biggest common factor number is the GCF number.
So the greatest common factor 73774 and 73794 is 2.
Also check out the Least Common Multiple of 73774 and 73794
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