What is the Greatest Common Factor of 49075 and 49080?

Greatest common factor (GCF) of 49075 and 49080 is 5.

GCF(49075,49080) = 5

We will now calculate the prime factors of 49075 and 49080, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49075 and 49080.

How to find the GCF of 49075 and 49080?

We will first find the prime factorization of 49075 and 49080. After we will calculate the factors of 49075 and 49080 and find the biggest common factor number .

Step-1: Prime Factorization of 49075

Prime factors of 49075 are 5, 13, 151. Prime factorization of 49075 in exponential form is:

49075 = 5² × 13¹ × 151¹

Step-2: Prime Factorization of 49080

Prime factors of 49080 are 2, 3, 5, 409. Prime factorization of 49080 in exponential form is:

49080 = 2³ × 3¹ × 5¹ × 409¹

Step-3: Factors of 49075

List of positive integer factors of 49075 that divides 49075 without a remainder.

1, 5, 13, 25, 65, 151, 325, 755, 1963, 3775, 9815

Step-4: Factors of 49080

List of positive integer factors of 49080 that divides 49075 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 409, 818, 1227, 1636, 2045, 2454, 3272, 4090, 4908, 6135, 8180, 9816, 12270, 16360, 24540

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49075 and 49080. The biggest common factor number is the GCF number.
So the greatest common factor 49075 and 49080 is 5.

Also check out the Least Common Multiple of 49075 and 49080