What is the Greatest Common Factor of 49375 and 49390?

Greatest common factor (GCF) of 49375 and 49390 is 5.

GCF(49375,49390) = 5

We will now calculate the prime factors of 49375 and 49390, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49375 and 49390.

How to find the GCF of 49375 and 49390?

We will first find the prime factorization of 49375 and 49390. After we will calculate the factors of 49375 and 49390 and find the biggest common factor number .

Step-1: Prime Factorization of 49375

Prime factors of 49375 are 5, 79. Prime factorization of 49375 in exponential form is:

49375 = 5⁴ × 79¹

Step-2: Prime Factorization of 49390

Prime factors of 49390 are 2, 5, 11, 449. Prime factorization of 49390 in exponential form is:

49390 = 2¹ × 5¹ × 11¹ × 449¹

Step-3: Factors of 49375

List of positive integer factors of 49375 that divides 49375 without a remainder.

1, 5, 25, 79, 125, 395, 625, 1975, 9875

Step-4: Factors of 49390

List of positive integer factors of 49390 that divides 49375 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110, 449, 898, 2245, 4490, 4939, 9878, 24695

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49375 and 49390. The biggest common factor number is the GCF number.
So the greatest common factor 49375 and 49390 is 5.

Also check out the Least Common Multiple of 49375 and 49390