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What is the Greatest Common Factor of 37037 and 37049?

Greatest common factor (GCF) of 37037 and 37049 is 1.

GCF(37037,37049) = 1

We will now calculate the prime factors of 37037 and 37049, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37037 and 37049.

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How to find the GCF of 37037 and 37049?

We will first find the prime factorization of 37037 and 37049. After we will calculate the factors of 37037 and 37049 and find the biggest common factor number .

Step-1: Prime Factorization of 37037

Prime factors of 37037 are 7, 11, 13, 37. Prime factorization of 37037 in exponential form is:

37037 = 71 × 111 × 131 × 371

Step-2: Prime Factorization of 37049

Prime factors of 37049 are 37049. Prime factorization of 37049 in exponential form is:

37049 = 370491

Step-3: Factors of 37037

List of positive integer factors of 37037 that divides 37037 without a remainder.

1, 7, 11, 13, 37, 77, 91, 143, 259, 407, 481, 1001, 2849, 3367, 5291

Step-4: Factors of 37049

List of positive integer factors of 37049 that divides 37037 without a remainder.

1

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37037 and 37049. The biggest common factor number is the GCF number.
So the greatest common factor 37037 and 37049 is 1.

Also check out the Least Common Multiple of 37037 and 37049