What is the Greatest Common Factor of 49080 and 49084?

Greatest common factor (GCF) of 49080 and 49084 is 4.

GCF(49080,49084) = 4

We will now calculate the prime factors of 49080 and 49084, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49080 and 49084.

How to find the GCF of 49080 and 49084?

We will first find the prime factorization of 49080 and 49084. After we will calculate the factors of 49080 and 49084 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 49084

Prime factors of 49084 are 2, 7, 1753. Prime factorization of 49084 in exponential form is:

49084 = 2² × 7¹ × 1753¹

Step-3: Factors of 49080

List of positive integer factors of 49080 that divides 49080 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

Step-4: Factors of 49084

List of positive integer factors of 49084 that divides 49080 without a remainder.

1, 2, 4, 7, 14, 28, 1753, 3506, 7012, 12271, 24542

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49080 and 49084. The biggest common factor number is the GCF number.
So the greatest common factor 49080 and 49084 is 4.

Also check out the Least Common Multiple of 49080 and 49084