What is the Greatest Common Factor of 71629 and 71642?
Greatest common factor (GCF) of 71629 and 71642 is 1.
GCF(71629,71642) = 1
We will now calculate the prime factors of 71629 and 71642, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71629 and 71642.
How to find the GCF of 71629 and 71642?
We will first find the prime factorization of 71629 and 71642. After we will calculate the factors of 71629 and 71642 and find the biggest common factor number .
Step-1: Prime Factorization of 71629
Prime factors of 71629 are 83, 863. Prime factorization of 71629 in exponential form is:
71629 = 831 × 8631
Step-2: Prime Factorization of 71642
Prime factors of 71642 are 2, 113, 317. Prime factorization of 71642 in exponential form is:
71642 = 21 × 1131 × 3171
Step-3: Factors of 71629
List of positive integer factors of 71629 that divides 71629 without a remainder.
1, 83, 863
Step-4: Factors of 71642
List of positive integer factors of 71642 that divides 71629 without a remainder.
1, 2, 113, 226, 317, 634, 35821
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 71629 and 71642. The biggest common factor number is the GCF number.
So the greatest common factor 71629 and 71642 is 1.
Also check out the Least Common Multiple of 71629 and 71642
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