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What is the Greatest Common Factor of 52649 and 52667?

Greatest common factor (GCF) of 52649 and 52667 is 1.

GCF(52649,52667) = 1

We will now calculate the prime factors of 52649 and 52667, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52649 and 52667.

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How to find the GCF of 52649 and 52667?

We will first find the prime factorization of 52649 and 52667. After we will calculate the factors of 52649 and 52667 and find the biggest common factor number .

Step-1: Prime Factorization of 52649

Prime factors of 52649 are 17, 19, 163. Prime factorization of 52649 in exponential form is:

52649 = 171 × 191 × 1631

Step-2: Prime Factorization of 52667

Prime factors of 52667 are 52667. Prime factorization of 52667 in exponential form is:

52667 = 526671

Step-3: Factors of 52649

List of positive integer factors of 52649 that divides 52649 without a remainder.

1, 17, 19, 163, 323, 2771, 3097

Step-4: Factors of 52667

List of positive integer factors of 52667 that divides 52649 without a remainder.

1

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52649 and 52667. The biggest common factor number is the GCF number.
So the greatest common factor 52649 and 52667 is 1.

Also check out the Least Common Multiple of 52649 and 52667