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What is the Greatest Common Factor of 88993 and 89010?

Greatest common factor (GCF) of 88993 and 89010 is 1.

GCF(88993,89010) = 1

We will now calculate the prime factors of 88993 and 89010, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88993 and 89010.

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How to find the GCF of 88993 and 89010?

We will first find the prime factorization of 88993 and 89010. After we will calculate the factors of 88993 and 89010 and find the biggest common factor number .

Step-1: Prime Factorization of 88993

Prime factors of 88993 are 88993. Prime factorization of 88993 in exponential form is:

88993 = 889931

Step-2: Prime Factorization of 89010

Prime factors of 89010 are 2, 3, 5, 23, 43. Prime factorization of 89010 in exponential form is:

89010 = 21 × 32 × 51 × 231 × 431

Step-3: Factors of 88993

List of positive integer factors of 88993 that divides 88993 without a remainder.

1

Step-4: Factors of 89010

List of positive integer factors of 89010 that divides 88993 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 23, 30, 43, 45, 46, 69, 86, 90, 115, 129, 138, 207, 215, 230, 258, 345, 387, 414, 430, 645, 690, 774, 989, 1035, 1290, 1935, 1978, 2070, 2967, 3870, 4945, 5934, 8901, 9890, 14835, 17802, 29670, 44505

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88993 and 89010. The biggest common factor number is the GCF number.
So the greatest common factor 88993 and 89010 is 1.

Also check out the Least Common Multiple of 88993 and 89010