What is the Greatest Common Factor of 45892 and 45898?

Greatest common factor (GCF) of 45892 and 45898 is 2.

GCF(45892,45898) = 2

We will now calculate the prime factors of 45892 and 45898, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45892 and 45898.

How to find the GCF of 45892 and 45898?

We will first find the prime factorization of 45892 and 45898. After we will calculate the factors of 45892 and 45898 and find the biggest common factor number .

Step-1: Prime Factorization of 45892

Prime factors of 45892 are 2, 7, 11, 149. Prime factorization of 45892 in exponential form is:

45892 = 2² × 7¹ × 11¹ × 149¹

Step-2: Prime Factorization of 45898

Prime factors of 45898 are 2, 53, 433. Prime factorization of 45898 in exponential form is:

45898 = 2¹ × 53¹ × 433¹

Step-3: Factors of 45892

List of positive integer factors of 45892 that divides 45892 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 149, 154, 298, 308, 596, 1043, 1639, 2086, 3278, 4172, 6556, 11473, 22946

Step-4: Factors of 45898

List of positive integer factors of 45898 that divides 45892 without a remainder.

1, 2, 53, 106, 433, 866, 22949

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45892 and 45898. The biggest common factor number is the GCF number.
So the greatest common factor 45892 and 45898 is 2.

Also check out the Least Common Multiple of 45892 and 45898