What is the Greatest Common Factor of 49058 and 49072?

Greatest common factor (GCF) of 49058 and 49072 is 2.

GCF(49058,49072) = 2

We will now calculate the prime factors of 49058 and 49072, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49058 and 49072.

How to find the GCF of 49058 and 49072?

We will first find the prime factorization of 49058 and 49072. After we will calculate the factors of 49058 and 49072 and find the biggest common factor number .

Step-1: Prime Factorization of 49058

Prime factors of 49058 are 2, 19, 1291. Prime factorization of 49058 in exponential form is:

49058 = 2¹ × 19¹ × 1291¹

Step-2: Prime Factorization of 49072

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

49072 = 2⁴ × 3067¹

Step-3: Factors of 49058

List of positive integer factors of 49058 that divides 49058 without a remainder.

1, 2, 19, 38, 1291, 2582, 24529

Step-4: Factors of 49072

List of positive integer factors of 49072 that divides 49058 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49058 and 49072. The biggest common factor number is the GCF number.
So the greatest common factor 49058 and 49072 is 2.

Also check out the Least Common Multiple of 49058 and 49072