What is the Greatest Common Factor of 46822 and 46830?

Greatest common factor (GCF) of 46822 and 46830 is 2.

GCF(46822,46830) = 2

We will now calculate the prime factors of 46822 and 46830, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46822 and 46830.

How to find the GCF of 46822 and 46830?

We will first find the prime factorization of 46822 and 46830. After we will calculate the factors of 46822 and 46830 and find the biggest common factor number .

Step-1: Prime Factorization of 46822

Prime factors of 46822 are 2, 41, 571. Prime factorization of 46822 in exponential form is:

46822 = 2¹ × 41¹ × 571¹

Step-2: Prime Factorization of 46830

Prime factors of 46830 are 2, 3, 5, 7, 223. Prime factorization of 46830 in exponential form is:

46830 = 2¹ × 3¹ × 5¹ × 7¹ × 223¹

Step-3: Factors of 46822

List of positive integer factors of 46822 that divides 46822 without a remainder.

1, 2, 41, 82, 571, 1142, 23411

Step-4: Factors of 46830

List of positive integer factors of 46830 that divides 46822 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210, 223, 446, 669, 1115, 1338, 1561, 2230, 3122, 3345, 4683, 6690, 7805, 9366, 15610, 23415

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46822 and 46830. The biggest common factor number is the GCF number.
So the greatest common factor 46822 and 46830 is 2.

Also check out the Least Common Multiple of 46822 and 46830