What is the Greatest Common Factor of 77014 and 77030?
Greatest common factor (GCF) of 77014 and 77030 is 2.
GCF(77014,77030) = 2
We will now calculate the prime factors of 77014 and 77030, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77014 and 77030.
How to find the GCF of 77014 and 77030?
We will first find the prime factorization of 77014 and 77030. After we will calculate the factors of 77014 and 77030 and find the biggest common factor number .
Step-1: Prime Factorization of 77014
Prime factors of 77014 are 2, 7, 5501. Prime factorization of 77014 in exponential form is:
77014 = 21 × 71 × 55011
Step-2: Prime Factorization of 77030
Prime factors of 77030 are 2, 5, 7703. Prime factorization of 77030 in exponential form is:
77030 = 21 × 51 × 77031
Step-3: Factors of 77014
List of positive integer factors of 77014 that divides 77014 without a remainder.
1, 2, 7, 14, 5501, 11002, 38507
Step-4: Factors of 77030
List of positive integer factors of 77030 that divides 77014 without a remainder.
1, 2, 5, 10, 7703, 15406, 38515
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 77014 and 77030. The biggest common factor number is the GCF number.
So the greatest common factor 77014 and 77030 is 2.
Also check out the Least Common Multiple of 77014 and 77030
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