What is the Greatest Common Factor of 36984 and 37003?

Greatest common factor (GCF) of 36984 and 37003 is 1.

GCF(36984,37003) = 1

We will now calculate the prime factors of 36984 and 37003, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36984 and 37003.

How to find the GCF of 36984 and 37003?

We will first find the prime factorization of 36984 and 37003. After we will calculate the factors of 36984 and 37003 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 37003

Prime factors of 37003 are 37003. Prime factorization of 37003 in exponential form is:

37003 = 37003¹

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 37003

List of positive integer factors of 37003 that divides 36984 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36984 and 37003. The biggest common factor number is the GCF number.
So the greatest common factor 36984 and 37003 is 1.

Also check out the Least Common Multiple of 36984 and 37003