What is the Greatest Common Factor of 66996 and 67003?

Greatest common factor (GCF) of 66996 and 67003 is 1.

GCF(66996,67003) = 1

We will now calculate the prime factors of 66996 and 67003, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66996 and 67003.

How to find the GCF of 66996 and 67003?

We will first find the prime factorization of 66996 and 67003. After we will calculate the factors of 66996 and 67003 and find the biggest common factor number .

Step-1: Prime Factorization of 66996

Prime factors of 66996 are 2, 3, 1861. Prime factorization of 66996 in exponential form is:

66996 = 2² × 3² × 1861¹

Step-2: Prime Factorization of 67003

Prime factors of 67003 are 67003. Prime factorization of 67003 in exponential form is:

67003 = 67003¹

Step-3: Factors of 66996

List of positive integer factors of 66996 that divides 66996 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 1861, 3722, 5583, 7444, 11166, 16749, 22332, 33498

Step-4: Factors of 67003

List of positive integer factors of 67003 that divides 66996 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66996 and 67003. The biggest common factor number is the GCF number.
So the greatest common factor 66996 and 67003 is 1.

Also check out the Least Common Multiple of 66996 and 67003