What is the Greatest Common Factor of 39742 and 39759?
Greatest common factor (GCF) of 39742 and 39759 is 1.
GCF(39742,39759) = 1
We will now calculate the prime factors of 39742 and 39759, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39742 and 39759.
How to find the GCF of 39742 and 39759?
We will first find the prime factorization of 39742 and 39759. After we will calculate the factors of 39742 and 39759 and find the biggest common factor number .
Step-1: Prime Factorization of 39742
Prime factors of 39742 are 2, 31, 641. Prime factorization of 39742 in exponential form is:
39742 = 21 × 311 × 6411
Step-2: Prime Factorization of 39759
Prime factors of 39759 are 3, 29, 457. Prime factorization of 39759 in exponential form is:
39759 = 31 × 291 × 4571
Step-3: Factors of 39742
List of positive integer factors of 39742 that divides 39742 without a remainder.
1, 2, 31, 62, 641, 1282, 19871
Step-4: Factors of 39759
List of positive integer factors of 39759 that divides 39742 without a remainder.
1, 3, 29, 87, 457, 1371, 13253
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 39742 and 39759. The biggest common factor number is the GCF number.
So the greatest common factor 39742 and 39759 is 1.
Also check out the Least Common Multiple of 39742 and 39759
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