What is the Greatest Common Factor of 63966 and 63974?

Greatest common factor (GCF) of 63966 and 63974 is 2.

GCF(63966,63974) = 2

We will now calculate the prime factors of 63966 and 63974, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63966 and 63974.

How to find the GCF of 63966 and 63974?

We will first find the prime factorization of 63966 and 63974. After we will calculate the factors of 63966 and 63974 and find the biggest common factor number .

Step-1: Prime Factorization of 63966

Prime factors of 63966 are 2, 3, 7, 1523. Prime factorization of 63966 in exponential form is:

63966 = 2¹ × 3¹ × 7¹ × 1523¹

Step-2: Prime Factorization of 63974

Prime factors of 63974 are 2, 29, 1103. Prime factorization of 63974 in exponential form is:

63974 = 2¹ × 29¹ × 1103¹

Step-3: Factors of 63966

List of positive integer factors of 63966 that divides 63966 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 1523, 3046, 4569, 9138, 10661, 21322, 31983

Step-4: Factors of 63974

List of positive integer factors of 63974 that divides 63966 without a remainder.

1, 2, 29, 58, 1103, 2206, 31987

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63966 and 63974. The biggest common factor number is the GCF number.
So the greatest common factor 63966 and 63974 is 2.

Also check out the Least Common Multiple of 63966 and 63974