What is the Greatest Common Factor of 26142 and 26158?
Greatest common factor (GCF) of 26142 and 26158 is 2.
GCF(26142,26158) = 2
We will now calculate the prime factors of 26142 and 26158, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26142 and 26158.
How to find the GCF of 26142 and 26158?
We will first find the prime factorization of 26142 and 26158. After we will calculate the factors of 26142 and 26158 and find the biggest common factor number .
Step-1: Prime Factorization of 26142
Prime factors of 26142 are 2, 3, 4357. Prime factorization of 26142 in exponential form is:
26142 = 21 × 31 × 43571
Step-2: Prime Factorization of 26158
Prime factors of 26158 are 2, 11, 29, 41. Prime factorization of 26158 in exponential form is:
26158 = 21 × 111 × 291 × 411
Step-3: Factors of 26142
List of positive integer factors of 26142 that divides 26142 without a remainder.
1, 2, 3, 6, 4357, 8714, 13071
Step-4: Factors of 26158
List of positive integer factors of 26158 that divides 26142 without a remainder.
1, 2, 11, 22, 29, 41, 58, 82, 319, 451, 638, 902, 1189, 2378, 13079
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 26142 and 26158. The biggest common factor number is the GCF number.
So the greatest common factor 26142 and 26158 is 2.
Also check out the Least Common Multiple of 26142 and 26158
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