What is the Greatest Common Factor of 71421 and 71431?
Greatest common factor (GCF) of 71421 and 71431 is 1.
GCF(71421,71431) = 1
We will now calculate the prime factors of 71421 and 71431, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71421 and 71431.
How to find the GCF of 71421 and 71431?
We will first find the prime factorization of 71421 and 71431. After we will calculate the factors of 71421 and 71431 and find the biggest common factor number .
Step-1: Prime Factorization of 71421
Prime factors of 71421 are 3, 7, 19, 179. Prime factorization of 71421 in exponential form is:
71421 = 31 × 71 × 191 × 1791
Step-2: Prime Factorization of 71431
Prime factors of 71431 are 61, 1171. Prime factorization of 71431 in exponential form is:
71431 = 611 × 11711
Step-3: Factors of 71421
List of positive integer factors of 71421 that divides 71421 without a remainder.
1, 3, 7, 19, 21, 57, 133, 179, 399, 537, 1253, 3401, 3759, 10203, 23807
Step-4: Factors of 71431
List of positive integer factors of 71431 that divides 71421 without a remainder.
1, 61, 1171
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 71421 and 71431. The biggest common factor number is the GCF number.
So the greatest common factor 71421 and 71431 is 1.
Also check out the Least Common Multiple of 71421 and 71431
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