What is the Greatest Common Factor of 76998 and 77014?
Greatest common factor (GCF) of 76998 and 77014 is 2.
GCF(76998,77014) = 2
We will now calculate the prime factors of 76998 and 77014, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76998 and 77014.
How to find the GCF of 76998 and 77014?
We will first find the prime factorization of 76998 and 77014. After we will calculate the factors of 76998 and 77014 and find the biggest common factor number .
Step-1: Prime Factorization of 76998
Prime factors of 76998 are 2, 3, 41, 313. Prime factorization of 76998 in exponential form is:
76998 = 21 × 31 × 411 × 3131
Step-2: 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-3: Factors of 76998
List of positive integer factors of 76998 that divides 76998 without a remainder.
1, 2, 3, 6, 41, 82, 123, 246, 313, 626, 939, 1878, 12833, 25666, 38499
Step-4: Factors of 77014
List of positive integer factors of 77014 that divides 76998 without a remainder.
1, 2, 7, 14, 5501, 11002, 38507
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 76998 and 77014. The biggest common factor number is the GCF number.
So the greatest common factor 76998 and 77014 is 2.
Also check out the Least Common Multiple of 76998 and 77014
Related Greatest Common Factors of 76998
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- GCF of 76998 and 77014
- GCF of 76998 and 77015
- GCF of 76998 and 77016
- GCF of 76998 and 77017
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Related Greatest Common Factors of 77014
- GCF of 77014 and 77018
- GCF of 77014 and 77019
- GCF of 77014 and 77020
- GCF of 77014 and 77021
- GCF of 77014 and 77022
- GCF of 77014 and 77023
- GCF of 77014 and 77024
- GCF of 77014 and 77025
- GCF of 77014 and 77026
- GCF of 77014 and 77027
- GCF of 77014 and 77028
- GCF of 77014 and 77029
- GCF of 77014 and 77030
- GCF of 77014 and 77031
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