What is the Greatest Common Factor of 45822 and 45838?

Greatest common factor (GCF) of 45822 and 45838 is 2.

GCF(45822,45838) = 2

We will now calculate the prime factors of 45822 and 45838, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45822 and 45838.

How to find the GCF of 45822 and 45838?

We will first find the prime factorization of 45822 and 45838. After we will calculate the factors of 45822 and 45838 and find the biggest common factor number .

Step-1: Prime Factorization of 45822

Prime factors of 45822 are 2, 3, 7, 1091. Prime factorization of 45822 in exponential form is:

45822 = 2¹ × 3¹ × 7¹ × 1091¹

Step-2: Prime Factorization of 45838

Prime factors of 45838 are 2, 13, 41, 43. Prime factorization of 45838 in exponential form is:

45838 = 2¹ × 13¹ × 41¹ × 43¹

Step-3: Factors of 45822

List of positive integer factors of 45822 that divides 45822 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 1091, 2182, 3273, 6546, 7637, 15274, 22911

Step-4: Factors of 45838

List of positive integer factors of 45838 that divides 45822 without a remainder.

1, 2, 13, 26, 41, 43, 82, 86, 533, 559, 1066, 1118, 1763, 3526, 22919

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45822 and 45838. The biggest common factor number is the GCF number.
So the greatest common factor 45822 and 45838 is 2.

Also check out the Least Common Multiple of 45822 and 45838