What is the Greatest Common Factor of 49066 and 49084?

Greatest common factor (GCF) of 49066 and 49084 is 2.

GCF(49066,49084) = 2

We will now calculate the prime factors of 49066 and 49084, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49066 and 49084.

How to find the GCF of 49066 and 49084?

We will first find the prime factorization of 49066 and 49084. After we will calculate the factors of 49066 and 49084 and find the biggest common factor number .

Step-1: Prime Factorization of 49066

Prime factors of 49066 are 2, 24533. Prime factorization of 49066 in exponential form is:

49066 = 2¹ × 24533¹

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 49066

List of positive integer factors of 49066 that divides 49066 without a remainder.

1, 2, 24533

Step-4: Factors of 49084

List of positive integer factors of 49084 that divides 49066 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 49066 and 49084. The biggest common factor number is the GCF number.
So the greatest common factor 49066 and 49084 is 2.

Also check out the Least Common Multiple of 49066 and 49084