What is the Greatest Common Factor of 20307 and 20314?
Greatest common factor (GCF) of 20307 and 20314 is 7.
GCF(20307,20314) = 7
We will now calculate the prime factors of 20307 and 20314, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20307 and 20314.
How to find the GCF of 20307 and 20314?
We will first find the prime factorization of 20307 and 20314. After we will calculate the factors of 20307 and 20314 and find the biggest common factor number .
Step-1: Prime Factorization of 20307
Prime factors of 20307 are 3, 7, 967. Prime factorization of 20307 in exponential form is:
20307 = 31 × 71 × 9671
Step-2: Prime Factorization of 20314
Prime factors of 20314 are 2, 7, 1451. Prime factorization of 20314 in exponential form is:
20314 = 21 × 71 × 14511
Step-3: Factors of 20307
List of positive integer factors of 20307 that divides 20307 without a remainder.
1, 3, 7, 21, 967, 2901, 6769
Step-4: Factors of 20314
List of positive integer factors of 20314 that divides 20307 without a remainder.
1, 2, 7, 14, 1451, 2902, 10157
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 20307 and 20314. The biggest common factor number is the GCF number.
So the greatest common factor 20307 and 20314 is 7.
Also check out the Least Common Multiple of 20307 and 20314
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