What is the Greatest Common Factor of 49025 and 49040?

Greatest common factor (GCF) of 49025 and 49040 is 5.

GCF(49025,49040) = 5

We will now calculate the prime factors of 49025 and 49040, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49025 and 49040.

How to find the GCF of 49025 and 49040?

We will first find the prime factorization of 49025 and 49040. After we will calculate the factors of 49025 and 49040 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 49040

Prime factors of 49040 are 2, 5, 613. Prime factorization of 49040 in exponential form is:

49040 = 2⁴ × 5¹ × 613¹

Step-3: Factors of 49025

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

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

Step-4: Factors of 49040

List of positive integer factors of 49040 that divides 49025 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 613, 1226, 2452, 3065, 4904, 6130, 9808, 12260, 24520

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49025 and 49040. The biggest common factor number is the GCF number.
So the greatest common factor 49025 and 49040 is 5.

Also check out the Least Common Multiple of 49025 and 49040