What is the Greatest Common Factor of 75942 and 75947?
Greatest common factor (GCF) of 75942 and 75947 is 1.
GCF(75942,75947) = 1
We will now calculate the prime factors of 75942 and 75947, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75942 and 75947.
How to find the GCF of 75942 and 75947?
We will first find the prime factorization of 75942 and 75947. After we will calculate the factors of 75942 and 75947 and find the biggest common factor number .
Step-1: Prime Factorization of 75942
Prime factors of 75942 are 2, 3, 4219. Prime factorization of 75942 in exponential form is:
75942 = 21 × 32 × 42191
Step-2: Prime Factorization of 75947
Prime factors of 75947 are 173, 439. Prime factorization of 75947 in exponential form is:
75947 = 1731 × 4391
Step-3: Factors of 75942
List of positive integer factors of 75942 that divides 75942 without a remainder.
1, 2, 3, 6, 9, 18, 4219, 8438, 12657, 25314, 37971
Step-4: Factors of 75947
List of positive integer factors of 75947 that divides 75942 without a remainder.
1, 173, 439
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 75942 and 75947. The biggest common factor number is the GCF number.
So the greatest common factor 75942 and 75947 is 1.
Also check out the Least Common Multiple of 75942 and 75947
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