What is the Greatest Common Factor of 66875 and 66894?
Greatest common factor (GCF) of 66875 and 66894 is 1.
GCF(66875,66894) = 1
We will now calculate the prime factors of 66875 and 66894, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66875 and 66894.
How to find the GCF of 66875 and 66894?
We will first find the prime factorization of 66875 and 66894. After we will calculate the factors of 66875 and 66894 and find the biggest common factor number .
Step-1: Prime Factorization of 66875
Prime factors of 66875 are 5, 107. Prime factorization of 66875 in exponential form is:
66875 = 54 × 1071
Step-2: Prime Factorization of 66894
Prime factors of 66894 are 2, 3, 11149. Prime factorization of 66894 in exponential form is:
66894 = 21 × 31 × 111491
Step-3: Factors of 66875
List of positive integer factors of 66875 that divides 66875 without a remainder.
1, 5, 25, 107, 125, 535, 625, 2675, 13375
Step-4: Factors of 66894
List of positive integer factors of 66894 that divides 66875 without a remainder.
1, 2, 3, 6, 11149, 22298, 33447
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 66875 and 66894. The biggest common factor number is the GCF number.
So the greatest common factor 66875 and 66894 is 1.
Also check out the Least Common Multiple of 66875 and 66894
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