What is the Greatest Common Factor of 45966 and 45974?

Greatest common factor (GCF) of 45966 and 45974 is 2.

GCF(45966,45974) = 2

We will now calculate the prime factors of 45966 and 45974, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45966 and 45974.

How to find the GCF of 45966 and 45974?

We will first find the prime factorization of 45966 and 45974. After we will calculate the factors of 45966 and 45974 and find the biggest common factor number .

Step-1: Prime Factorization of 45966

Prime factors of 45966 are 2, 3, 47, 163. Prime factorization of 45966 in exponential form is:

45966 = 2¹ × 3¹ × 47¹ × 163¹

Step-2: Prime Factorization of 45974

Prime factors of 45974 are 2, 127, 181. Prime factorization of 45974 in exponential form is:

45974 = 2¹ × 127¹ × 181¹

Step-3: Factors of 45966

List of positive integer factors of 45966 that divides 45966 without a remainder.

1, 2, 3, 6, 47, 94, 141, 163, 282, 326, 489, 978, 7661, 15322, 22983

Step-4: Factors of 45974

List of positive integer factors of 45974 that divides 45966 without a remainder.

1, 2, 127, 181, 254, 362, 22987

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45966 and 45974. The biggest common factor number is the GCF number.
So the greatest common factor 45966 and 45974 is 2.

Also check out the Least Common Multiple of 45966 and 45974