What is the Greatest Common Factor of 36984 and 37001?

Greatest common factor (GCF) of 36984 and 37001 is 1.

GCF(36984,37001) = 1

We will now calculate the prime factors of 36984 and 37001, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36984 and 37001.

How to find the GCF of 36984 and 37001?

We will first find the prime factorization of 36984 and 37001. After we will calculate the factors of 36984 and 37001 and find the biggest common factor number .

Step-1: Prime Factorization of 36984

Prime factors of 36984 are 2, 3, 23, 67. Prime factorization of 36984 in exponential form is:

36984 = 2³ × 3¹ × 23¹ × 67¹

Step-2: Prime Factorization of 37001

Prime factors of 37001 are 163, 227. Prime factorization of 37001 in exponential form is:

37001 = 163¹ × 227¹

Step-3: Factors of 36984

List of positive integer factors of 36984 that divides 36984 without a remainder.

1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 67, 69, 92, 134, 138, 184, 201, 268, 276, 402, 536, 552, 804, 1541, 1608, 3082, 4623, 6164, 9246, 12328, 18492

Step-4: Factors of 37001

List of positive integer factors of 37001 that divides 36984 without a remainder.

1, 163, 227

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36984 and 37001. The biggest common factor number is the GCF number.
So the greatest common factor 36984 and 37001 is 1.

Also check out the Least Common Multiple of 36984 and 37001