What is the Greatest Common Factor of 46536 and 46550?

Greatest common factor (GCF) of 46536 and 46550 is 14.

GCF(46536,46550) = 14

We will now calculate the prime factors of 46536 and 46550, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46536 and 46550.

How to find the GCF of 46536 and 46550?

We will first find the prime factorization of 46536 and 46550. After we will calculate the factors of 46536 and 46550 and find the biggest common factor number .

Step-1: Prime Factorization of 46536

Prime factors of 46536 are 2, 3, 7, 277. Prime factorization of 46536 in exponential form is:

46536 = 2³ × 3¹ × 7¹ × 277¹

Step-2: 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-3: Factors of 46536

List of positive integer factors of 46536 that divides 46536 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168, 277, 554, 831, 1108, 1662, 1939, 2216, 3324, 3878, 5817, 6648, 7756, 11634, 15512, 23268

Step-4: Factors of 46550

List of positive integer factors of 46550 that divides 46536 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46536 and 46550. The biggest common factor number is the GCF number.
So the greatest common factor 46536 and 46550 is 14.

Also check out the Least Common Multiple of 46536 and 46550