What is the Greatest Common Factor of 46680 and 46690?

Greatest common factor (GCF) of 46680 and 46690 is 10.

GCF(46680,46690) = 10

We will now calculate the prime factors of 46680 and 46690, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46680 and 46690.

How to find the GCF of 46680 and 46690?

We will first find the prime factorization of 46680 and 46690. After we will calculate the factors of 46680 and 46690 and find the biggest common factor number .

Step-1: Prime Factorization of 46680

Prime factors of 46680 are 2, 3, 5, 389. Prime factorization of 46680 in exponential form is:

46680 = 2³ × 3¹ × 5¹ × 389¹

Step-2: Prime Factorization of 46690

Prime factors of 46690 are 2, 5, 7, 23, 29. Prime factorization of 46690 in exponential form is:

46690 = 2¹ × 5¹ × 7¹ × 23¹ × 29¹

Step-3: Factors of 46680

List of positive integer factors of 46680 that divides 46680 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 389, 778, 1167, 1556, 1945, 2334, 3112, 3890, 4668, 5835, 7780, 9336, 11670, 15560, 23340

Step-4: Factors of 46690

List of positive integer factors of 46690 that divides 46680 without a remainder.

1, 2, 5, 7, 10, 14, 23, 29, 35, 46, 58, 70, 115, 145, 161, 203, 230, 290, 322, 406, 667, 805, 1015, 1334, 1610, 2030, 3335, 4669, 6670, 9338, 23345

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46680 and 46690. The biggest common factor number is the GCF number.
So the greatest common factor 46680 and 46690 is 10.

Also check out the Least Common Multiple of 46680 and 46690