What is the Greatest Common Factor of 36701 and 36715?

Greatest common factor (GCF) of 36701 and 36715 is 7.

GCF(36701,36715) = 7

We will now calculate the prime factors of 36701 and 36715, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36701 and 36715.

How to find the GCF of 36701 and 36715?

We will first find the prime factorization of 36701 and 36715. After we will calculate the factors of 36701 and 36715 and find the biggest common factor number .

Step-1: Prime Factorization of 36701

Prime factors of 36701 are 7, 107. Prime factorization of 36701 in exponential form is:

36701 = 7³ × 107¹

Step-2: Prime Factorization of 36715

Prime factors of 36715 are 5, 7, 1049. Prime factorization of 36715 in exponential form is:

36715 = 5¹ × 7¹ × 1049¹

Step-3: Factors of 36701

List of positive integer factors of 36701 that divides 36701 without a remainder.

1, 7, 49, 107, 343, 749, 5243

Step-4: Factors of 36715

List of positive integer factors of 36715 that divides 36701 without a remainder.

1, 5, 7, 35, 1049, 5245, 7343

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36701 and 36715. The biggest common factor number is the GCF number.
So the greatest common factor 36701 and 36715 is 7.

Also check out the Least Common Multiple of 36701 and 36715