What is the Greatest Common Factor of 49039 and 49058?

Greatest common factor (GCF) of 49039 and 49058 is 19.

GCF(49039,49058) = 19

We will now calculate the prime factors of 49039 and 49058, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49039 and 49058.

How to find the GCF of 49039 and 49058?

We will first find the prime factorization of 49039 and 49058. After we will calculate the factors of 49039 and 49058 and find the biggest common factor number .

Step-1: Prime Factorization of 49039

Prime factors of 49039 are 19, 29, 89. Prime factorization of 49039 in exponential form is:

49039 = 19¹ × 29¹ × 89¹

Step-2: 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-3: Factors of 49039

List of positive integer factors of 49039 that divides 49039 without a remainder.

1, 19, 29, 89, 551, 1691, 2581

Step-4: Factors of 49058

List of positive integer factors of 49058 that divides 49039 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49039 and 49058. The biggest common factor number is the GCF number.
So the greatest common factor 49039 and 49058 is 19.

Also check out the Least Common Multiple of 49039 and 49058