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What is the Greatest Common Factor of 26479 and 26488?

Greatest common factor (GCF) of 26479 and 26488 is 1.

GCF(26479,26488) = 1

We will now calculate the prime factors of 26479 and 26488, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26479 and 26488.

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How to find the GCF of 26479 and 26488?

We will first find the prime factorization of 26479 and 26488. After we will calculate the factors of 26479 and 26488 and find the biggest common factor number .

Step-1: Prime Factorization of 26479

Prime factors of 26479 are 26479. Prime factorization of 26479 in exponential form is:

26479 = 264791

Step-2: Prime Factorization of 26488

Prime factors of 26488 are 2, 7, 11, 43. Prime factorization of 26488 in exponential form is:

26488 = 23 × 71 × 111 × 431

Step-3: Factors of 26479

List of positive integer factors of 26479 that divides 26479 without a remainder.

1

Step-4: Factors of 26488

List of positive integer factors of 26488 that divides 26479 without a remainder.

1, 2, 4, 7, 8, 11, 14, 22, 28, 43, 44, 56, 77, 86, 88, 154, 172, 301, 308, 344, 473, 602, 616, 946, 1204, 1892, 2408, 3311, 3784, 6622, 13244

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26479 and 26488. The biggest common factor number is the GCF number.
So the greatest common factor 26479 and 26488 is 1.

Also check out the Least Common Multiple of 26479 and 26488