What is the Greatest Common Factor of 49120 and 49125?

Greatest common factor (GCF) of 49120 and 49125 is 5.

GCF(49120,49125) = 5

We will now calculate the prime factors of 49120 and 49125, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49120 and 49125.

How to find the GCF of 49120 and 49125?

We will first find the prime factorization of 49120 and 49125. After we will calculate the factors of 49120 and 49125 and find the biggest common factor number .

Step-1: Prime Factorization of 49120

Prime factors of 49120 are 2, 5, 307. Prime factorization of 49120 in exponential form is:

49120 = 2⁵ × 5¹ × 307¹

Step-2: Prime Factorization of 49125

Prime factors of 49125 are 3, 5, 131. Prime factorization of 49125 in exponential form is:

49125 = 3¹ × 5³ × 131¹

Step-3: Factors of 49120

List of positive integer factors of 49120 that divides 49120 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160, 307, 614, 1228, 1535, 2456, 3070, 4912, 6140, 9824, 12280, 24560

Step-4: Factors of 49125

List of positive integer factors of 49125 that divides 49120 without a remainder.

1, 3, 5, 15, 25, 75, 125, 131, 375, 393, 655, 1965, 3275, 9825, 16375

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49120 and 49125. The biggest common factor number is the GCF number.
So the greatest common factor 49120 and 49125 is 5.

Also check out the Least Common Multiple of 49120 and 49125