What is the Greatest Common Factor of 49105 and 49125?

Greatest common factor (GCF) of 49105 and 49125 is 5.

GCF(49105,49125) = 5

We will now calculate the prime factors of 49105 and 49125, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49105 and 49125.

How to find the GCF of 49105 and 49125?

We will first find the prime factorization of 49105 and 49125. After we will calculate the factors of 49105 and 49125 and find the biggest common factor number .

Step-1: Prime Factorization of 49105

Prime factors of 49105 are 5, 7, 23, 61. Prime factorization of 49105 in exponential form is:

49105 = 5¹ × 7¹ × 23¹ × 61¹

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 49105

List of positive integer factors of 49105 that divides 49105 without a remainder.

1, 5, 7, 23, 35, 61, 115, 161, 305, 427, 805, 1403, 2135, 7015, 9821

Step-4: Factors of 49125

List of positive integer factors of 49125 that divides 49105 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 49105 and 49125. The biggest common factor number is the GCF number.
So the greatest common factor 49105 and 49125 is 5.

Also check out the Least Common Multiple of 49105 and 49125