What is the Greatest Common Factor of 4229 and 4242?
Greatest common factor (GCF) of 4229 and 4242 is 1.
GCF(4229,4242) = 1
We will now calculate the prime factors of 4229 and 4242, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4229 and 4242.
How to find the GCF of 4229 and 4242?
We will first find the prime factorization of 4229 and 4242. After we will calculate the factors of 4229 and 4242 and find the biggest common factor number .
Step-1: Prime Factorization of 4229
Prime factors of 4229 are 4229. Prime factorization of 4229 in exponential form is:
4229 = 42291
Step-2: Prime Factorization of 4242
Prime factors of 4242 are 2, 3, 7, 101. Prime factorization of 4242 in exponential form is:
4242 = 21 × 31 × 71 × 1011
Step-3: Factors of 4229
List of positive integer factors of 4229 that divides 4229 without a remainder.
1
Step-4: Factors of 4242
List of positive integer factors of 4242 that divides 4229 without a remainder.
1, 2, 3, 6, 7, 14, 21, 42, 101, 202, 303, 606, 707, 1414, 2121
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 4229 and 4242. The biggest common factor number is the GCF number.
So the greatest common factor 4229 and 4242 is 1.
Also check out the Least Common Multiple of 4229 and 4242
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