What is the Greatest Common Factor of 5902 and 5922?

Greatest common factor (GCF) of 5902 and 5922 is 2.

GCF(5902,5922) = 2

We will now calculate the prime factors of 5902 and 5922, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5902 and 5922.

How to find the GCF of 5902 and 5922?

We will first find the prime factorization of 5902 and 5922. After we will calculate the factors of 5902 and 5922 and find the biggest common factor number .

Step-1: Prime Factorization of 5902

Prime factors of 5902 are 2, 13, 227. Prime factorization of 5902 in exponential form is:

5902 = 2¹ × 13¹ × 227¹

Step-2: Prime Factorization of 5922

Prime factors of 5922 are 2, 3, 7, 47. Prime factorization of 5922 in exponential form is:

5922 = 2¹ × 3² × 7¹ × 47¹

Step-3: Factors of 5902

List of positive integer factors of 5902 that divides 5902 without a remainder.

1, 2, 13, 26, 227, 454, 2951

Step-4: Factors of 5922

List of positive integer factors of 5922 that divides 5902 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 47, 63, 94, 126, 141, 282, 329, 423, 658, 846, 987, 1974, 2961

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5902 and 5922. The biggest common factor number is the GCF number.
So the greatest common factor 5902 and 5922 is 2.

Also check out the Least Common Multiple of 5902 and 5922