What is the Greatest Common Factor of 49008 and 49025?

Greatest common factor (GCF) of 49008 and 49025 is 1.

GCF(49008,49025) = 1

We will now calculate the prime factors of 49008 and 49025, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49008 and 49025.

How to find the GCF of 49008 and 49025?

We will first find the prime factorization of 49008 and 49025. After we will calculate the factors of 49008 and 49025 and find the biggest common factor number .

Step-1: Prime Factorization of 49008

Prime factors of 49008 are 2, 3, 1021. Prime factorization of 49008 in exponential form is:

49008 = 2⁴ × 3¹ × 1021¹

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 49008

List of positive integer factors of 49008 that divides 49008 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1021, 2042, 3063, 4084, 6126, 8168, 12252, 16336, 24504

Step-4: Factors of 49025

List of positive integer factors of 49025 that divides 49008 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 49008 and 49025. The biggest common factor number is the GCF number.
So the greatest common factor 49008 and 49025 is 1.

Also check out the Least Common Multiple of 49008 and 49025