What is the Greatest Common Factor of 68964 and 68974?

Greatest common factor (GCF) of 68964 and 68974 is 2.

GCF(68964,68974) = 2

We will now calculate the prime factors of 68964 and 68974, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68964 and 68974.

How to find the GCF of 68964 and 68974?

We will first find the prime factorization of 68964 and 68974. After we will calculate the factors of 68964 and 68974 and find the biggest common factor number .

Step-1: Prime Factorization of 68964

Prime factors of 68964 are 2, 3, 7, 821. Prime factorization of 68964 in exponential form is:

68964 = 2² × 3¹ × 7¹ × 821¹

Step-2: Prime Factorization of 68974

Prime factors of 68974 are 2, 34487. Prime factorization of 68974 in exponential form is:

68974 = 2¹ × 34487¹

Step-3: Factors of 68964

List of positive integer factors of 68964 that divides 68964 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 821, 1642, 2463, 3284, 4926, 5747, 9852, 11494, 17241, 22988, 34482

Step-4: Factors of 68974

List of positive integer factors of 68974 that divides 68964 without a remainder.

1, 2, 34487

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68964 and 68974. The biggest common factor number is the GCF number.
So the greatest common factor 68964 and 68974 is 2.

Also check out the Least Common Multiple of 68964 and 68974