What is the Greatest Common Factor of 49505 and 49520?

Greatest common factor (GCF) of 49505 and 49520 is 5.

GCF(49505,49520) = 5

We will now calculate the prime factors of 49505 and 49520, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49505 and 49520.

How to find the GCF of 49505 and 49520?

We will first find the prime factorization of 49505 and 49520. After we will calculate the factors of 49505 and 49520 and find the biggest common factor number .

Step-1: Prime Factorization of 49505

Prime factors of 49505 are 5, 9901. Prime factorization of 49505 in exponential form is:

49505 = 5¹ × 9901¹

Step-2: Prime Factorization of 49520

Prime factors of 49520 are 2, 5, 619. Prime factorization of 49520 in exponential form is:

49520 = 2⁴ × 5¹ × 619¹

Step-3: Factors of 49505

List of positive integer factors of 49505 that divides 49505 without a remainder.

1, 5, 9901

Step-4: Factors of 49520

List of positive integer factors of 49520 that divides 49505 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 619, 1238, 2476, 3095, 4952, 6190, 9904, 12380, 24760

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49505 and 49520. The biggest common factor number is the GCF number.
So the greatest common factor 49505 and 49520 is 5.

Also check out the Least Common Multiple of 49505 and 49520