What is the Greatest Common Factor of 49507 and 49525?

Greatest common factor (GCF) of 49507 and 49525 is 1.

GCF(49507,49525) = 1

We will now calculate the prime factors of 49507 and 49525, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49507 and 49525.

How to find the GCF of 49507 and 49525?

We will first find the prime factorization of 49507 and 49525. After we will calculate the factors of 49507 and 49525 and find the biggest common factor number .

Step-1: Prime Factorization of 49507

Prime factors of 49507 are 31, 1597. Prime factorization of 49507 in exponential form is:

49507 = 31¹ × 1597¹

Step-2: Prime Factorization of 49525

Prime factors of 49525 are 5, 7, 283. Prime factorization of 49525 in exponential form is:

49525 = 5² × 7¹ × 283¹

Step-3: Factors of 49507

List of positive integer factors of 49507 that divides 49507 without a remainder.

1, 31, 1597

Step-4: Factors of 49525

List of positive integer factors of 49525 that divides 49507 without a remainder.

1, 5, 7, 25, 35, 175, 283, 1415, 1981, 7075, 9905

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49507 and 49525. The biggest common factor number is the GCF number.
So the greatest common factor 49507 and 49525 is 1.

Also check out the Least Common Multiple of 49507 and 49525