What is the Greatest Common Factor of 48911 and 48920?

Greatest common factor (GCF) of 48911 and 48920 is 1.

GCF(48911,48920) = 1

We will now calculate the prime factors of 48911 and 48920, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48911 and 48920.

How to find the GCF of 48911 and 48920?

We will first find the prime factorization of 48911 and 48920. After we will calculate the factors of 48911 and 48920 and find the biggest common factor number .

Step-1: Prime Factorization of 48911

Prime factors of 48911 are 59, 829. Prime factorization of 48911 in exponential form is:

48911 = 59¹ × 829¹

Step-2: Prime Factorization of 48920

Prime factors of 48920 are 2, 5, 1223. Prime factorization of 48920 in exponential form is:

48920 = 2³ × 5¹ × 1223¹

Step-3: Factors of 48911

List of positive integer factors of 48911 that divides 48911 without a remainder.

1, 59, 829

Step-4: Factors of 48920

List of positive integer factors of 48920 that divides 48911 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 1223, 2446, 4892, 6115, 9784, 12230, 24460

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48911 and 48920. The biggest common factor number is the GCF number.
So the greatest common factor 48911 and 48920 is 1.

Also check out the Least Common Multiple of 48911 and 48920