What is the Greatest Common Factor of 45902 and 45922?

Greatest common factor (GCF) of 45902 and 45922 is 2.

GCF(45902,45922) = 2

We will now calculate the prime factors of 45902 and 45922, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45902 and 45922.

How to find the GCF of 45902 and 45922?

We will first find the prime factorization of 45902 and 45922. After we will calculate the factors of 45902 and 45922 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 45922

Prime factors of 45922 are 2, 22961. Prime factorization of 45922 in exponential form is:

45922 = 2¹ × 22961¹

Step-3: Factors of 45902

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

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

Step-4: Factors of 45922

List of positive integer factors of 45922 that divides 45902 without a remainder.

1, 2, 22961

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45902 and 45922. The biggest common factor number is the GCF number.
So the greatest common factor 45902 and 45922 is 2.

Also check out the Least Common Multiple of 45902 and 45922