What is the Greatest Common Factor of 45958 and 45969?

Greatest common factor (GCF) of 45958 and 45969 is 11.

GCF(45958,45969) = 11

We will now calculate the prime factors of 45958 and 45969, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45958 and 45969.

How to find the GCF of 45958 and 45969?

We will first find the prime factorization of 45958 and 45969. After we will calculate the factors of 45958 and 45969 and find the biggest common factor number .

Step-1: Prime Factorization of 45958

Prime factors of 45958 are 2, 11, 2089. Prime factorization of 45958 in exponential form is:

45958 = 2¹ × 11¹ × 2089¹

Step-2: 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-3: Factors of 45958

List of positive integer factors of 45958 that divides 45958 without a remainder.

1, 2, 11, 22, 2089, 4178, 22979

Step-4: Factors of 45969

List of positive integer factors of 45969 that divides 45958 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45958 and 45969. The biggest common factor number is the GCF number.
So the greatest common factor 45958 and 45969 is 11.

Also check out the Least Common Multiple of 45958 and 45969