What is the Greatest Common Factor of 45969 and 45983?

Greatest common factor (GCF) of 45969 and 45983 is 7.

GCF(45969,45983) = 7

We will now calculate the prime factors of 45969 and 45983, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45969 and 45983.

How to find the GCF of 45969 and 45983?

We will first find the prime factorization of 45969 and 45983. After we will calculate the factors of 45969 and 45983 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 45983

Prime factors of 45983 are 7, 6569. Prime factorization of 45983 in exponential form is:

45983 = 7¹ × 6569¹

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 45983

List of positive integer factors of 45983 that divides 45969 without a remainder.

1, 7, 6569

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45969 and 45983. The biggest common factor number is the GCF number.
So the greatest common factor 45969 and 45983 is 7.

Also check out the Least Common Multiple of 45969 and 45983