What is the Greatest Common Factor of 49514 and 49525?

Greatest common factor (GCF) of 49514 and 49525 is 1.

GCF(49514,49525) = 1

We will now calculate the prime factors of 49514 and 49525, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49514 and 49525.

How to find the GCF of 49514 and 49525?

We will first find the prime factorization of 49514 and 49525. After we will calculate the factors of 49514 and 49525 and find the biggest common factor number .

Step-1: Prime Factorization of 49514

Prime factors of 49514 are 2, 19, 1303. Prime factorization of 49514 in exponential form is:

49514 = 2¹ × 19¹ × 1303¹

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 49514

List of positive integer factors of 49514 that divides 49514 without a remainder.

1, 2, 19, 38, 1303, 2606, 24757

Step-4: Factors of 49525

List of positive integer factors of 49525 that divides 49514 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 49514 and 49525. The biggest common factor number is the GCF number.
So the greatest common factor 49514 and 49525 is 1.

Also check out the Least Common Multiple of 49514 and 49525