What is the Greatest Common Factor of 46825 and 46830?

Greatest common factor (GCF) of 46825 and 46830 is 5.

GCF(46825,46830) = 5

We will now calculate the prime factors of 46825 and 46830, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46825 and 46830.

How to find the GCF of 46825 and 46830?

We will first find the prime factorization of 46825 and 46830. After we will calculate the factors of 46825 and 46830 and find the biggest common factor number .

Step-1: Prime Factorization of 46825

Prime factors of 46825 are 5, 1873. Prime factorization of 46825 in exponential form is:

46825 = 5² × 1873¹

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 46825

List of positive integer factors of 46825 that divides 46825 without a remainder.

1, 5, 25, 1873, 9365

Step-4: Factors of 46830

List of positive integer factors of 46830 that divides 46825 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 46825 and 46830. The biggest common factor number is the GCF number.
So the greatest common factor 46825 and 46830 is 5.

Also check out the Least Common Multiple of 46825 and 46830