What is the Greatest Common Factor of 68625 and 68641?
Greatest common factor (GCF) of 68625 and 68641 is 1.
GCF(68625,68641) = 1
We will now calculate the prime factors of 68625 and 68641, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68625 and 68641.
How to find the GCF of 68625 and 68641?
We will first find the prime factorization of 68625 and 68641. After we will calculate the factors of 68625 and 68641 and find the biggest common factor number .
Step-1: Prime Factorization of 68625
Prime factors of 68625 are 3, 5, 61. Prime factorization of 68625 in exponential form is:
68625 = 32 × 53 × 611
Step-2: Prime Factorization of 68641
Prime factors of 68641 are 83, 827. Prime factorization of 68641 in exponential form is:
68641 = 831 × 8271
Step-3: Factors of 68625
List of positive integer factors of 68625 that divides 68625 without a remainder.
1, 3, 5, 9, 15, 25, 45, 61, 75, 125, 183, 225, 305, 375, 549, 915, 1125, 1525, 2745, 4575, 7625, 13725, 22875
Step-4: Factors of 68641
List of positive integer factors of 68641 that divides 68625 without a remainder.
1, 83, 827
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 68625 and 68641. The biggest common factor number is the GCF number.
So the greatest common factor 68625 and 68641 is 1.
Also check out the Least Common Multiple of 68625 and 68641
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