What is the Greatest Common Factor of 42032 and 42036?
Greatest common factor (GCF) of 42032 and 42036 is 4.
GCF(42032,42036) = 4
We will now calculate the prime factors of 42032 and 42036, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42032 and 42036.
How to find the GCF of 42032 and 42036?
We will first find the prime factorization of 42032 and 42036. After we will calculate the factors of 42032 and 42036 and find the biggest common factor number .
Step-1: Prime Factorization of 42032
Prime factors of 42032 are 2, 37, 71. Prime factorization of 42032 in exponential form is:
42032 = 24 × 371 × 711
Step-2: Prime Factorization of 42036
Prime factors of 42036 are 2, 3, 31, 113. Prime factorization of 42036 in exponential form is:
42036 = 22 × 31 × 311 × 1131
Step-3: Factors of 42032
List of positive integer factors of 42032 that divides 42032 without a remainder.
1, 2, 4, 8, 16, 37, 71, 74, 142, 148, 284, 296, 568, 592, 1136, 2627, 5254, 10508, 21016
Step-4: Factors of 42036
List of positive integer factors of 42036 that divides 42032 without a remainder.
1, 2, 3, 4, 6, 12, 31, 62, 93, 113, 124, 186, 226, 339, 372, 452, 678, 1356, 3503, 7006, 10509, 14012, 21018
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 42032 and 42036. The biggest common factor number is the GCF number.
So the greatest common factor 42032 and 42036 is 4.
Also check out the Least Common Multiple of 42032 and 42036
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Related Greatest Common Factors of 42036
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