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What is the Greatest Common Factor of 26492 and 26497?

Greatest common factor (GCF) of 26492 and 26497 is 1.

GCF(26492,26497) = 1

We will now calculate the prime factors of 26492 and 26497, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26492 and 26497.

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How to find the GCF of 26492 and 26497?

We will first find the prime factorization of 26492 and 26497. After we will calculate the factors of 26492 and 26497 and find the biggest common factor number .

Step-1: Prime Factorization of 26492

Prime factors of 26492 are 2, 37, 179. Prime factorization of 26492 in exponential form is:

26492 = 22 × 371 × 1791

Step-2: Prime Factorization of 26497

Prime factors of 26497 are 26497. Prime factorization of 26497 in exponential form is:

26497 = 264971

Step-3: Factors of 26492

List of positive integer factors of 26492 that divides 26492 without a remainder.

1, 2, 4, 37, 74, 148, 179, 358, 716, 6623, 13246

Step-4: Factors of 26497

List of positive integer factors of 26497 that divides 26492 without a remainder.

1

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26492 and 26497. The biggest common factor number is the GCF number.
So the greatest common factor 26492 and 26497 is 1.

Also check out the Least Common Multiple of 26492 and 26497