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What is the Greatest Common Factor of 37669 and 37684?

Greatest common factor (GCF) of 37669 and 37684 is 1.

GCF(37669,37684) = 1

We will now calculate the prime factors of 37669 and 37684, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37669 and 37684.

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How to find the GCF of 37669 and 37684?

We will first find the prime factorization of 37669 and 37684. After we will calculate the factors of 37669 and 37684 and find the biggest common factor number .

Step-1: Prime Factorization of 37669

Prime factors of 37669 are 139, 271. Prime factorization of 37669 in exponential form is:

37669 = 1391 × 2711

Step-2: Prime Factorization of 37684

Prime factors of 37684 are 2, 9421. Prime factorization of 37684 in exponential form is:

37684 = 22 × 94211

Step-3: Factors of 37669

List of positive integer factors of 37669 that divides 37669 without a remainder.

1, 139, 271

Step-4: Factors of 37684

List of positive integer factors of 37684 that divides 37669 without a remainder.

1, 2, 4, 9421, 18842

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37669 and 37684. The biggest common factor number is the GCF number.
So the greatest common factor 37669 and 37684 is 1.

Also check out the Least Common Multiple of 37669 and 37684