What is the Greatest Common Factor of 14042 and 14062?
Greatest common factor (GCF) of 14042 and 14062 is 2.
GCF(14042,14062) = 2
We will now calculate the prime factors of 14042 and 14062, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14042 and 14062.
How to find the GCF of 14042 and 14062?
We will first find the prime factorization of 14042 and 14062. After we will calculate the factors of 14042 and 14062 and find the biggest common factor number .
Step-1: Prime Factorization of 14042
Prime factors of 14042 are 2, 7, 17, 59. Prime factorization of 14042 in exponential form is:
14042 = 21 × 71 × 171 × 591
Step-2: Prime Factorization of 14062
Prime factors of 14062 are 2, 79, 89. Prime factorization of 14062 in exponential form is:
14062 = 21 × 791 × 891
Step-3: Factors of 14042
List of positive integer factors of 14042 that divides 14042 without a remainder.
1, 2, 7, 14, 17, 34, 59, 118, 119, 238, 413, 826, 1003, 2006, 7021
Step-4: Factors of 14062
List of positive integer factors of 14062 that divides 14042 without a remainder.
1, 2, 79, 89, 158, 178, 7031
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 14042 and 14062. The biggest common factor number is the GCF number.
So the greatest common factor 14042 and 14062 is 2.
Also check out the Least Common Multiple of 14042 and 14062
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