What is the Greatest Common Factor of 68642 and 68660?
Greatest common factor (GCF) of 68642 and 68660 is 2.
GCF(68642,68660) = 2
We will now calculate the prime factors of 68642 and 68660, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68642 and 68660.
How to find the GCF of 68642 and 68660?
We will first find the prime factorization of 68642 and 68660. After we will calculate the factors of 68642 and 68660 and find the biggest common factor number .
Step-1: Prime Factorization of 68642
Prime factors of 68642 are 2, 7, 4903. Prime factorization of 68642 in exponential form is:
68642 = 21 × 71 × 49031
Step-2: Prime Factorization of 68660
Prime factors of 68660 are 2, 5, 3433. Prime factorization of 68660 in exponential form is:
68660 = 22 × 51 × 34331
Step-3: Factors of 68642
List of positive integer factors of 68642 that divides 68642 without a remainder.
1, 2, 7, 14, 4903, 9806, 34321
Step-4: Factors of 68660
List of positive integer factors of 68660 that divides 68642 without a remainder.
1, 2, 4, 5, 10, 20, 3433, 6866, 13732, 17165, 34330
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 68642 and 68660. The biggest common factor number is the GCF number.
So the greatest common factor 68642 and 68660 is 2.
Also check out the Least Common Multiple of 68642 and 68660
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