What is the Greatest Common Factor of 49350 and 49364?

Greatest common factor (GCF) of 49350 and 49364 is 14.

GCF(49350,49364) = 14

We will now calculate the prime factors of 49350 and 49364, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49350 and 49364.

How to find the GCF of 49350 and 49364?

We will first find the prime factorization of 49350 and 49364. After we will calculate the factors of 49350 and 49364 and find the biggest common factor number .

Step-1: Prime Factorization of 49350

Prime factors of 49350 are 2, 3, 5, 7, 47. Prime factorization of 49350 in exponential form is:

49350 = 2¹ × 3¹ × 5² × 7¹ × 47¹

Step-2: Prime Factorization of 49364

Prime factors of 49364 are 2, 7, 41, 43. Prime factorization of 49364 in exponential form is:

49364 = 2² × 7¹ × 41¹ × 43¹

Step-3: Factors of 49350

List of positive integer factors of 49350 that divides 49350 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 25, 30, 35, 42, 47, 50, 70, 75, 94, 105, 141, 150, 175, 210, 235, 282, 329, 350, 470, 525, 658, 705, 987, 1050, 1175, 1410, 1645, 1974, 2350, 3290, 3525, 4935, 7050, 8225, 9870, 16450, 24675

Step-4: Factors of 49364

List of positive integer factors of 49364 that divides 49350 without a remainder.

1, 2, 4, 7, 14, 28, 41, 43, 82, 86, 164, 172, 287, 301, 574, 602, 1148, 1204, 1763, 3526, 7052, 12341, 24682

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49350 and 49364. The biggest common factor number is the GCF number.
So the greatest common factor 49350 and 49364 is 14.

Also check out the Least Common Multiple of 49350 and 49364