What is the Greatest Common Factor of 48431 and 48450?

Greatest common factor (GCF) of 48431 and 48450 is 19.

GCF(48431,48450) = 19

We will now calculate the prime factors of 48431 and 48450, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48431 and 48450.

How to find the GCF of 48431 and 48450?

We will first find the prime factorization of 48431 and 48450. After we will calculate the factors of 48431 and 48450 and find the biggest common factor number .

Step-1: Prime Factorization of 48431

Prime factors of 48431 are 19, 2549. Prime factorization of 48431 in exponential form is:

48431 = 19¹ × 2549¹

Step-2: Prime Factorization of 48450

Prime factors of 48450 are 2, 3, 5, 17, 19. Prime factorization of 48450 in exponential form is:

48450 = 2¹ × 3¹ × 5² × 17¹ × 19¹

Step-3: Factors of 48431

List of positive integer factors of 48431 that divides 48431 without a remainder.

1, 19, 2549

Step-4: Factors of 48450

List of positive integer factors of 48450 that divides 48431 without a remainder.

1, 2, 3, 5, 6, 10, 15, 17, 19, 25, 30, 34, 38, 50, 51, 57, 75, 85, 95, 102, 114, 150, 170, 190, 255, 285, 323, 425, 475, 510, 570, 646, 850, 950, 969, 1275, 1425, 1615, 1938, 2550, 2850, 3230, 4845, 8075, 9690, 16150, 24225

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48431 and 48450. The biggest common factor number is the GCF number.
So the greatest common factor 48431 and 48450 is 19.

Also check out the Least Common Multiple of 48431 and 48450