What is the Greatest Common Factor of 35994 and 36014?

Greatest common factor (GCF) of 35994 and 36014 is 2.

GCF(35994,36014) = 2

We will now calculate the prime factors of 35994 and 36014, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35994 and 36014.

How to find the GCF of 35994 and 36014?

We will first find the prime factorization of 35994 and 36014. After we will calculate the factors of 35994 and 36014 and find the biggest common factor number .

Step-1: Prime Factorization of 35994

Prime factors of 35994 are 2, 3, 7, 857. Prime factorization of 35994 in exponential form is:

35994 = 2¹ × 3¹ × 7¹ × 857¹

Step-2: Prime Factorization of 36014

Prime factors of 36014 are 2, 11, 1637. Prime factorization of 36014 in exponential form is:

36014 = 2¹ × 11¹ × 1637¹

Step-3: Factors of 35994

List of positive integer factors of 35994 that divides 35994 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 857, 1714, 2571, 5142, 5999, 11998, 17997

Step-4: Factors of 36014

List of positive integer factors of 36014 that divides 35994 without a remainder.

1, 2, 11, 22, 1637, 3274, 18007

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35994 and 36014. The biggest common factor number is the GCF number.
So the greatest common factor 35994 and 36014 is 2.

Also check out the Least Common Multiple of 35994 and 36014