What is the Greatest Common Factor of 4710 and 4714?
Greatest common factor (GCF) of 4710 and 4714 is 2.
GCF(4710,4714) = 2
We will now calculate the prime factors of 4710 and 4714, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4710 and 4714.
How to find the GCF of 4710 and 4714?
We will first find the prime factorization of 4710 and 4714. After we will calculate the factors of 4710 and 4714 and find the biggest common factor number .
Step-1: Prime Factorization of 4710
Prime factors of 4710 are 2, 3, 5, 157. Prime factorization of 4710 in exponential form is:
4710 = 21 × 31 × 51 × 1571
Step-2: Prime Factorization of 4714
Prime factors of 4714 are 2, 2357. Prime factorization of 4714 in exponential form is:
4714 = 21 × 23571
Step-3: Factors of 4710
List of positive integer factors of 4710 that divides 4710 without a remainder.
1, 2, 3, 5, 6, 10, 15, 30, 157, 314, 471, 785, 942, 1570, 2355
Step-4: Factors of 4714
List of positive integer factors of 4714 that divides 4710 without a remainder.
1, 2, 2357
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 4710 and 4714. The biggest common factor number is the GCF number.
So the greatest common factor 4710 and 4714 is 2.
Also check out the Least Common Multiple of 4710 and 4714
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