What is the Greatest Common Factor of 36742 and 36757?

Greatest common factor (GCF) of 36742 and 36757 is 1.

GCF(36742,36757) = 1

We will now calculate the prime factors of 36742 and 36757, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36742 and 36757.

How to find the GCF of 36742 and 36757?

We will first find the prime factorization of 36742 and 36757. After we will calculate the factors of 36742 and 36757 and find the biggest common factor number .

Step-1: Prime Factorization of 36742

Prime factors of 36742 are 2, 18371. Prime factorization of 36742 in exponential form is:

36742 = 2¹ × 18371¹

Step-2: Prime Factorization of 36757

Prime factors of 36757 are 7, 59, 89. Prime factorization of 36757 in exponential form is:

36757 = 7¹ × 59¹ × 89¹

Step-3: Factors of 36742

List of positive integer factors of 36742 that divides 36742 without a remainder.

1, 2, 18371

Step-4: Factors of 36757

List of positive integer factors of 36757 that divides 36742 without a remainder.

1, 7, 59, 89, 413, 623, 5251

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36742 and 36757. The biggest common factor number is the GCF number.
So the greatest common factor 36742 and 36757 is 1.

Also check out the Least Common Multiple of 36742 and 36757