What is the Greatest Common Factor of 42150 and 42158?
Greatest common factor (GCF) of 42150 and 42158 is 2.
GCF(42150,42158) = 2
We will now calculate the prime factors of 42150 and 42158, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42150 and 42158.
How to find the GCF of 42150 and 42158?
We will first find the prime factorization of 42150 and 42158. After we will calculate the factors of 42150 and 42158 and find the biggest common factor number .
Step-1: Prime Factorization of 42150
Prime factors of 42150 are 2, 3, 5, 281. Prime factorization of 42150 in exponential form is:
42150 = 21 × 31 × 52 × 2811
Step-2: Prime Factorization of 42158
Prime factors of 42158 are 2, 107, 197. Prime factorization of 42158 in exponential form is:
42158 = 21 × 1071 × 1971
Step-3: Factors of 42150
List of positive integer factors of 42150 that divides 42150 without a remainder.
1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150, 281, 562, 843, 1405, 1686, 2810, 4215, 7025, 8430, 14050, 21075
Step-4: Factors of 42158
List of positive integer factors of 42158 that divides 42150 without a remainder.
1, 2, 107, 197, 214, 394, 21079
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 42150 and 42158. The biggest common factor number is the GCF number.
So the greatest common factor 42150 and 42158 is 2.
Also check out the Least Common Multiple of 42150 and 42158
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