What is the Greatest Common Factor of 59741 and 59758?
Greatest common factor (GCF) of 59741 and 59758 is 1.
GCF(59741,59758) = 1
We will now calculate the prime factors of 59741 and 59758, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59741 and 59758.
How to find the GCF of 59741 and 59758?
We will first find the prime factorization of 59741 and 59758. After we will calculate the factors of 59741 and 59758 and find the biggest common factor number .
Step-1: Prime Factorization of 59741
Prime factors of 59741 are 11, 5431. Prime factorization of 59741 in exponential form is:
59741 = 111 × 54311
Step-2: Prime Factorization of 59758
Prime factors of 59758 are 2, 29879. Prime factorization of 59758 in exponential form is:
59758 = 21 × 298791
Step-3: Factors of 59741
List of positive integer factors of 59741 that divides 59741 without a remainder.
1, 11, 5431
Step-4: Factors of 59758
List of positive integer factors of 59758 that divides 59741 without a remainder.
1, 2, 29879
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 59741 and 59758. The biggest common factor number is the GCF number.
So the greatest common factor 59741 and 59758 is 1.
Also check out the Least Common Multiple of 59741 and 59758
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