What is the Greatest Common Factor of 49375 and 49380?

Greatest common factor (GCF) of 49375 and 49380 is 5.

GCF(49375,49380) = 5

We will now calculate the prime factors of 49375 and 49380, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49375 and 49380.

How to find the GCF of 49375 and 49380?

We will first find the prime factorization of 49375 and 49380. After we will calculate the factors of 49375 and 49380 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 49380

Prime factors of 49380 are 2, 3, 5, 823. Prime factorization of 49380 in exponential form is:

49380 = 2² × 3¹ × 5¹ × 823¹

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 49380

List of positive integer factors of 49380 that divides 49375 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 823, 1646, 2469, 3292, 4115, 4938, 8230, 9876, 12345, 16460, 24690

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49375 and 49380. The biggest common factor number is the GCF number.
So the greatest common factor 49375 and 49380 is 5.

Also check out the Least Common Multiple of 49375 and 49380