What is the Greatest Common Factor of 46830 and 46840?

Greatest common factor (GCF) of 46830 and 46840 is 10.

GCF(46830,46840) = 10

We will now calculate the prime factors of 46830 and 46840, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46830 and 46840.

How to find the GCF of 46830 and 46840?

We will first find the prime factorization of 46830 and 46840. After we will calculate the factors of 46830 and 46840 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 46840

Prime factors of 46840 are 2, 5, 1171. Prime factorization of 46840 in exponential form is:

46840 = 2³ × 5¹ × 1171¹

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 46840

List of positive integer factors of 46840 that divides 46830 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 1171, 2342, 4684, 5855, 9368, 11710, 23420

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46830 and 46840. The biggest common factor number is the GCF number.
So the greatest common factor 46830 and 46840 is 10.

Also check out the Least Common Multiple of 46830 and 46840