What is the Greatest Common Factor of 33974 and 33988?

Greatest common factor (GCF) of 33974 and 33988 is 2.

GCF(33974,33988) = 2

We will now calculate the prime factors of 33974 and 33988, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33974 and 33988.

How to find the GCF of 33974 and 33988?

We will first find the prime factorization of 33974 and 33988. After we will calculate the factors of 33974 and 33988 and find the biggest common factor number .

Step-1: Prime Factorization of 33974

Prime factors of 33974 are 2, 16987. Prime factorization of 33974 in exponential form is:

33974 = 2¹ × 16987¹

Step-2: Prime Factorization of 33988

Prime factors of 33988 are 2, 29, 293. Prime factorization of 33988 in exponential form is:

33988 = 2² × 29¹ × 293¹

Step-3: Factors of 33974

List of positive integer factors of 33974 that divides 33974 without a remainder.

1, 2, 16987

Step-4: Factors of 33988

List of positive integer factors of 33988 that divides 33974 without a remainder.

1, 2, 4, 29, 58, 116, 293, 586, 1172, 8497, 16994

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33974 and 33988. The biggest common factor number is the GCF number.
So the greatest common factor 33974 and 33988 is 2.

Also check out the Least Common Multiple of 33974 and 33988