What is the Greatest Common Factor of 63770 and 63774?
Greatest common factor (GCF) of 63770 and 63774 is 2.
GCF(63770,63774) = 2
We will now calculate the prime factors of 63770 and 63774, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63770 and 63774.
How to find the GCF of 63770 and 63774?
We will first find the prime factorization of 63770 and 63774. After we will calculate the factors of 63770 and 63774 and find the biggest common factor number .
Step-1: Prime Factorization of 63770
Prime factors of 63770 are 2, 5, 7, 911. Prime factorization of 63770 in exponential form is:
63770 = 21 × 51 × 71 × 9111
Step-2: Prime Factorization of 63774
Prime factors of 63774 are 2, 3, 1181. Prime factorization of 63774 in exponential form is:
63774 = 21 × 33 × 11811
Step-3: Factors of 63770
List of positive integer factors of 63770 that divides 63770 without a remainder.
1, 2, 5, 7, 10, 14, 35, 70, 911, 1822, 4555, 6377, 9110, 12754, 31885
Step-4: Factors of 63774
List of positive integer factors of 63774 that divides 63770 without a remainder.
1, 2, 3, 6, 9, 18, 27, 54, 1181, 2362, 3543, 7086, 10629, 21258, 31887
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 63770 and 63774. The biggest common factor number is the GCF number.
So the greatest common factor 63770 and 63774 is 2.
Also check out the Least Common Multiple of 63770 and 63774
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