What is the Greatest Common Factor of 46830 and 46844?

Greatest common factor (GCF) of 46830 and 46844 is 14.

GCF(46830,46844) = 14

We will now calculate the prime factors of 46830 and 46844, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46830 and 46844.

How to find the GCF of 46830 and 46844?

We will first find the prime factorization of 46830 and 46844. After we will calculate the factors of 46830 and 46844 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 46844

Prime factors of 46844 are 2, 7, 239. Prime factorization of 46844 in exponential form is:

46844 = 2² × 7² × 239¹

Step-3: Factors of 46830

List of positive integer factors of 46830 that divides 46830 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

Step-4: Factors of 46844

List of positive integer factors of 46844 that divides 46830 without a remainder.

1, 2, 4, 7, 14, 28, 49, 98, 196, 239, 478, 956, 1673, 3346, 6692, 11711, 23422

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46830 and 46844. The biggest common factor number is the GCF number.
So the greatest common factor 46830 and 46844 is 14.

Also check out the Least Common Multiple of 46830 and 46844