What is the Greatest Common Factor of 48892 and 48901?

Greatest common factor (GCF) of 48892 and 48901 is 1.

GCF(48892,48901) = 1

We will now calculate the prime factors of 48892 and 48901, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48892 and 48901.

How to find the GCF of 48892 and 48901?

We will first find the prime factorization of 48892 and 48901. After we will calculate the factors of 48892 and 48901 and find the biggest common factor number .

Step-1: Prime Factorization of 48892

Prime factors of 48892 are 2, 17, 719. Prime factorization of 48892 in exponential form is:

48892 = 2² × 17¹ × 719¹

Step-2: Prime Factorization of 48901

Prime factors of 48901 are 79, 619. Prime factorization of 48901 in exponential form is:

48901 = 79¹ × 619¹

Step-3: Factors of 48892

List of positive integer factors of 48892 that divides 48892 without a remainder.

1, 2, 4, 17, 34, 68, 719, 1438, 2876, 12223, 24446

Step-4: Factors of 48901

List of positive integer factors of 48901 that divides 48892 without a remainder.

1, 79, 619

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48892 and 48901. The biggest common factor number is the GCF number.
So the greatest common factor 48892 and 48901 is 1.

Also check out the Least Common Multiple of 48892 and 48901