What is the Greatest Common Factor of 32974 and 32994?

Greatest common factor (GCF) of 32974 and 32994 is 2.

GCF(32974,32994) = 2

We will now calculate the prime factors of 32974 and 32994, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32974 and 32994.

How to find the GCF of 32974 and 32994?

We will first find the prime factorization of 32974 and 32994. After we will calculate the factors of 32974 and 32994 and find the biggest common factor number .

Step-1: Prime Factorization of 32974

Prime factors of 32974 are 2, 16487. Prime factorization of 32974 in exponential form is:

32974 = 2¹ × 16487¹

Step-2: Prime Factorization of 32994

Prime factors of 32994 are 2, 3, 13, 47. Prime factorization of 32994 in exponential form is:

32994 = 2¹ × 3³ × 13¹ × 47¹

Step-3: Factors of 32974

List of positive integer factors of 32974 that divides 32974 without a remainder.

1, 2, 16487

Step-4: Factors of 32994

List of positive integer factors of 32994 that divides 32974 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 47, 54, 78, 94, 117, 141, 234, 282, 351, 423, 611, 702, 846, 1222, 1269, 1833, 2538, 3666, 5499, 10998, 16497

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32974 and 32994. The biggest common factor number is the GCF number.
So the greatest common factor 32974 and 32994 is 2.

Also check out the Least Common Multiple of 32974 and 32994