What is the Greatest Common Factor of 35842 and 35860?
Greatest common factor (GCF) of 35842 and 35860 is 2.
GCF(35842,35860) = 2
We will now calculate the prime factors of 35842 and 35860, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35842 and 35860.
How to find the GCF of 35842 and 35860?
We will first find the prime factorization of 35842 and 35860. After we will calculate the factors of 35842 and 35860 and find the biggest common factor number .
Step-1: Prime Factorization of 35842
Prime factors of 35842 are 2, 17921. Prime factorization of 35842 in exponential form is:
35842 = 21 × 179211
Step-2: Prime Factorization of 35860
Prime factors of 35860 are 2, 5, 11, 163. Prime factorization of 35860 in exponential form is:
35860 = 22 × 51 × 111 × 1631
Step-3: Factors of 35842
List of positive integer factors of 35842 that divides 35842 without a remainder.
1, 2, 17921
Step-4: Factors of 35860
List of positive integer factors of 35860 that divides 35842 without a remainder.
1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 163, 220, 326, 652, 815, 1630, 1793, 3260, 3586, 7172, 8965, 17930
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 35842 and 35860. The biggest common factor number is the GCF number.
So the greatest common factor 35842 and 35860 is 2.
Also check out the Least Common Multiple of 35842 and 35860
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