What is the Greatest Common Factor of 49072 and 49084?

Greatest common factor (GCF) of 49072 and 49084 is 4.

GCF(49072,49084) = 4

We will now calculate the prime factors of 49072 and 49084, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49072 and 49084.

How to find the GCF of 49072 and 49084?

We will first find the prime factorization of 49072 and 49084. After we will calculate the factors of 49072 and 49084 and find the biggest common factor number .

Step-1: Prime Factorization of 49072

Prime factors of 49072 are 2, 3067. Prime factorization of 49072 in exponential form is:

49072 = 2⁴ × 3067¹

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 49072

List of positive integer factors of 49072 that divides 49072 without a remainder.

1, 2, 4, 8, 16, 3067, 6134, 12268, 24536

Step-4: Factors of 49084

List of positive integer factors of 49084 that divides 49072 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 49072 and 49084. The biggest common factor number is the GCF number.
So the greatest common factor 49072 and 49084 is 4.

Also check out the Least Common Multiple of 49072 and 49084