What is the Greatest Common Factor of 3132 and 3142?
Greatest common factor (GCF) of 3132 and 3142 is 2.
GCF(3132,3142) = 2
We will now calculate the prime factors of 3132 and 3142, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3132 and 3142.
How to find the GCF of 3132 and 3142?
We will first find the prime factorization of 3132 and 3142. After we will calculate the factors of 3132 and 3142 and find the biggest common factor number .
Step-1: Prime Factorization of 3132
Prime factors of 3132 are 2, 3, 29. Prime factorization of 3132 in exponential form is:
3132 = 22 × 33 × 291
Step-2: Prime Factorization of 3142
Prime factors of 3142 are 2, 1571. Prime factorization of 3142 in exponential form is:
3142 = 21 × 15711
Step-3: Factors of 3132
List of positive integer factors of 3132 that divides 3132 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 27, 29, 36, 54, 58, 87, 108, 116, 174, 261, 348, 522, 783, 1044, 1566
Step-4: Factors of 3142
List of positive integer factors of 3142 that divides 3132 without a remainder.
1, 2, 1571
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 3132 and 3142. The biggest common factor number is the GCF number.
So the greatest common factor 3132 and 3142 is 2.
Also check out the Least Common Multiple of 3132 and 3142
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