What is the Greatest Common Factor of 41741 and 41749?
Greatest common factor (GCF) of 41741 and 41749 is 1.
GCF(41741,41749) = 1
We will now calculate the prime factors of 41741 and 41749, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41741 and 41749.
How to find the GCF of 41741 and 41749?
We will first find the prime factorization of 41741 and 41749. After we will calculate the factors of 41741 and 41749 and find the biggest common factor number .
Step-1: Prime Factorization of 41741
Prime factors of 41741 are 7, 67, 89. Prime factorization of 41741 in exponential form is:
41741 = 71 × 671 × 891
Step-2: Prime Factorization of 41749
Prime factors of 41749 are 83, 503. Prime factorization of 41749 in exponential form is:
41749 = 831 × 5031
Step-3: Factors of 41741
List of positive integer factors of 41741 that divides 41741 without a remainder.
1, 7, 67, 89, 469, 623, 5963
Step-4: Factors of 41749
List of positive integer factors of 41749 that divides 41741 without a remainder.
1, 83, 503
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 41741 and 41749. The biggest common factor number is the GCF number.
So the greatest common factor 41741 and 41749 is 1.
Also check out the Least Common Multiple of 41741 and 41749
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Related Greatest Common Factors of 41749
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