What is the Greatest Common Factor of 45884 and 45902?

Greatest common factor (GCF) of 45884 and 45902 is 2.

GCF(45884,45902) = 2

We will now calculate the prime factors of 45884 and 45902, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45884 and 45902.

How to find the GCF of 45884 and 45902?

We will first find the prime factorization of 45884 and 45902. After we will calculate the factors of 45884 and 45902 and find the biggest common factor number .

Step-1: Prime Factorization of 45884

Prime factors of 45884 are 2, 11471. Prime factorization of 45884 in exponential form is:

45884 = 2² × 11471¹

Step-2: Prime Factorization of 45902

Prime factors of 45902 are 2, 59, 389. Prime factorization of 45902 in exponential form is:

45902 = 2¹ × 59¹ × 389¹

Step-3: Factors of 45884

List of positive integer factors of 45884 that divides 45884 without a remainder.

1, 2, 4, 11471, 22942

Step-4: Factors of 45902

List of positive integer factors of 45902 that divides 45884 without a remainder.

1, 2, 59, 118, 389, 778, 22951

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45884 and 45902. The biggest common factor number is the GCF number.
So the greatest common factor 45884 and 45902 is 2.

Also check out the Least Common Multiple of 45884 and 45902