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What is the Greatest Common Factor of 72891 and 72904?

Greatest common factor (GCF) of 72891 and 72904 is 13.

GCF(72891,72904) = 13

We will now calculate the prime factors of 72891 and 72904, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72891 and 72904.

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How to find the GCF of 72891 and 72904?

We will first find the prime factorization of 72891 and 72904. After we will calculate the factors of 72891 and 72904 and find the biggest common factor number .

Step-1: Prime Factorization of 72891

Prime factors of 72891 are 3, 7, 13, 89. Prime factorization of 72891 in exponential form is:

72891 = 32 × 71 × 131 × 891

Step-2: Prime Factorization of 72904

Prime factors of 72904 are 2, 13, 701. Prime factorization of 72904 in exponential form is:

72904 = 23 × 131 × 7011

Step-3: Factors of 72891

List of positive integer factors of 72891 that divides 72891 without a remainder.

1, 3, 7, 9, 13, 21, 39, 63, 89, 91, 117, 267, 273, 623, 801, 819, 1157, 1869, 3471, 5607, 8099, 10413, 24297

Step-4: Factors of 72904

List of positive integer factors of 72904 that divides 72891 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104, 701, 1402, 2804, 5608, 9113, 18226, 36452

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72891 and 72904. The biggest common factor number is the GCF number.
So the greatest common factor 72891 and 72904 is 13.

Also check out the Least Common Multiple of 72891 and 72904