What is the Greatest Common Factor of 66454 and 66472?

Greatest common factor (GCF) of 66454 and 66472 is 2.

GCF(66454,66472) = 2

We will now calculate the prime factors of 66454 and 66472, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66454 and 66472.

How to find the GCF of 66454 and 66472?

We will first find the prime factorization of 66454 and 66472. After we will calculate the factors of 66454 and 66472 and find the biggest common factor number .

Step-1: Prime Factorization of 66454

Prime factors of 66454 are 2, 149, 223. Prime factorization of 66454 in exponential form is:

66454 = 2¹ × 149¹ × 223¹

Step-2: Prime Factorization of 66472

Prime factors of 66472 are 2, 7, 1187. Prime factorization of 66472 in exponential form is:

66472 = 2³ × 7¹ × 1187¹

Step-3: Factors of 66454

List of positive integer factors of 66454 that divides 66454 without a remainder.

1, 2, 149, 223, 298, 446, 33227

Step-4: Factors of 66472

List of positive integer factors of 66472 that divides 66454 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 1187, 2374, 4748, 8309, 9496, 16618, 33236

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66454 and 66472. The biggest common factor number is the GCF number.
So the greatest common factor 66454 and 66472 is 2.

Also check out the Least Common Multiple of 66454 and 66472