What is the Greatest Common Factor of 49006 and 49025?

Greatest common factor (GCF) of 49006 and 49025 is 1.

GCF(49006,49025) = 1

We will now calculate the prime factors of 49006 and 49025, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49006 and 49025.

How to find the GCF of 49006 and 49025?

We will first find the prime factorization of 49006 and 49025. After we will calculate the factors of 49006 and 49025 and find the biggest common factor number .

Step-1: Prime Factorization of 49006

Prime factors of 49006 are 2, 107, 229. Prime factorization of 49006 in exponential form is:

49006 = 2¹ × 107¹ × 229¹

Step-2: Prime Factorization of 49025

Prime factors of 49025 are 5, 37, 53. Prime factorization of 49025 in exponential form is:

49025 = 5² × 37¹ × 53¹

Step-3: Factors of 49006

List of positive integer factors of 49006 that divides 49006 without a remainder.

1, 2, 107, 214, 229, 458, 24503

Step-4: Factors of 49025

List of positive integer factors of 49025 that divides 49006 without a remainder.

1, 5, 25, 37, 53, 185, 265, 925, 1325, 1961, 9805

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49006 and 49025. The biggest common factor number is the GCF number.
So the greatest common factor 49006 and 49025 is 1.

Also check out the Least Common Multiple of 49006 and 49025