What is the Greatest Common Factor of 31913 and 31922?
Greatest common factor (GCF) of 31913 and 31922 is 1.
GCF(31913,31922) = 1
We will now calculate the prime factors of 31913 and 31922, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31913 and 31922.
How to find the GCF of 31913 and 31922?
We will first find the prime factorization of 31913 and 31922. After we will calculate the factors of 31913 and 31922 and find the biggest common factor number .
Step-1: Prime Factorization of 31913
Prime factors of 31913 are 7, 47, 97. Prime factorization of 31913 in exponential form is:
31913 = 71 × 471 × 971
Step-2: Prime Factorization of 31922
Prime factors of 31922 are 2, 11, 1451. Prime factorization of 31922 in exponential form is:
31922 = 21 × 111 × 14511
Step-3: Factors of 31913
List of positive integer factors of 31913 that divides 31913 without a remainder.
1, 7, 47, 97, 329, 679, 4559
Step-4: Factors of 31922
List of positive integer factors of 31922 that divides 31913 without a remainder.
1, 2, 11, 22, 1451, 2902, 15961
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 31913 and 31922. The biggest common factor number is the GCF number.
So the greatest common factor 31913 and 31922 is 1.
Also check out the Least Common Multiple of 31913 and 31922
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