What is the Greatest Common Factor of 35987 and 36001?

Greatest common factor (GCF) of 35987 and 36001 is 7.

GCF(35987,36001) = 7

We will now calculate the prime factors of 35987 and 36001, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35987 and 36001.

How to find the GCF of 35987 and 36001?

We will first find the prime factorization of 35987 and 36001. After we will calculate the factors of 35987 and 36001 and find the biggest common factor number .

Step-1: Prime Factorization of 35987

Prime factors of 35987 are 7, 53, 97. Prime factorization of 35987 in exponential form is:

35987 = 7¹ × 53¹ × 97¹

Step-2: Prime Factorization of 36001

Prime factors of 36001 are 7, 37, 139. Prime factorization of 36001 in exponential form is:

36001 = 7¹ × 37¹ × 139¹

Step-3: Factors of 35987

List of positive integer factors of 35987 that divides 35987 without a remainder.

1, 7, 53, 97, 371, 679, 5141

Step-4: Factors of 36001

List of positive integer factors of 36001 that divides 35987 without a remainder.

1, 7, 37, 139, 259, 973, 5143

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35987 and 36001. The biggest common factor number is the GCF number.
So the greatest common factor 35987 and 36001 is 7.

Also check out the Least Common Multiple of 35987 and 36001