What is the Greatest Common Factor of 36984 and 37004?

Greatest common factor (GCF) of 36984 and 37004 is 4.

GCF(36984,37004) = 4

We will now calculate the prime factors of 36984 and 37004, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36984 and 37004.

How to find the GCF of 36984 and 37004?

We will first find the prime factorization of 36984 and 37004. After we will calculate the factors of 36984 and 37004 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 37004

Prime factors of 37004 are 2, 11, 29. Prime factorization of 37004 in exponential form is:

37004 = 2² × 11¹ × 29²

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 37004

List of positive integer factors of 37004 that divides 36984 without a remainder.

1, 2, 4, 11, 22, 29, 44, 58, 116, 319, 638, 841, 1276, 1682, 3364, 9251, 18502

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36984 and 37004. The biggest common factor number is the GCF number.
So the greatest common factor 36984 and 37004 is 4.

Also check out the Least Common Multiple of 36984 and 37004