What is the Greatest Common Factor of 46550 and 46569?

Greatest common factor (GCF) of 46550 and 46569 is 19.

GCF(46550,46569) = 19

We will now calculate the prime factors of 46550 and 46569, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46550 and 46569.

How to find the GCF of 46550 and 46569?

We will first find the prime factorization of 46550 and 46569. After we will calculate the factors of 46550 and 46569 and find the biggest common factor number .

Step-1: Prime Factorization of 46550

Prime factors of 46550 are 2, 5, 7, 19. Prime factorization of 46550 in exponential form is:

46550 = 2¹ × 5² × 7² × 19¹

Step-2: Prime Factorization of 46569

Prime factors of 46569 are 3, 19, 43. Prime factorization of 46569 in exponential form is:

46569 = 3¹ × 19² × 43¹

Step-3: Factors of 46550

List of positive integer factors of 46550 that divides 46550 without a remainder.

1, 2, 5, 7, 10, 14, 19, 25, 35, 38, 49, 50, 70, 95, 98, 133, 175, 190, 245, 266, 350, 475, 490, 665, 931, 950, 1225, 1330, 1862, 2450, 3325, 4655, 6650, 9310, 23275

Step-4: Factors of 46569

List of positive integer factors of 46569 that divides 46550 without a remainder.

1, 3, 19, 43, 57, 129, 361, 817, 1083, 2451, 15523

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46550 and 46569. The biggest common factor number is the GCF number.
So the greatest common factor 46550 and 46569 is 19.

Also check out the Least Common Multiple of 46550 and 46569