What is the Greatest Common Factor of 45969 and 45984?

Greatest common factor (GCF) of 45969 and 45984 is 3.

GCF(45969,45984) = 3

We will now calculate the prime factors of 45969 and 45984, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45969 and 45984.

How to find the GCF of 45969 and 45984?

We will first find the prime factorization of 45969 and 45984. After we will calculate the factors of 45969 and 45984 and find the biggest common factor number .

Step-1: Prime Factorization of 45969

Prime factors of 45969 are 3, 7, 11, 199. Prime factorization of 45969 in exponential form is:

45969 = 3¹ × 7¹ × 11¹ × 199¹

Step-2: Prime Factorization of 45984

Prime factors of 45984 are 2, 3, 479. Prime factorization of 45984 in exponential form is:

45984 = 2⁵ × 3¹ × 479¹

Step-3: Factors of 45969

List of positive integer factors of 45969 that divides 45969 without a remainder.

1, 3, 7, 11, 21, 33, 77, 199, 231, 597, 1393, 2189, 4179, 6567, 15323

Step-4: Factors of 45984

List of positive integer factors of 45984 that divides 45969 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 479, 958, 1437, 1916, 2874, 3832, 5748, 7664, 11496, 15328, 22992

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45969 and 45984. The biggest common factor number is the GCF number.
So the greatest common factor 45969 and 45984 is 3.

Also check out the Least Common Multiple of 45969 and 45984