What is the Greatest Common Factor of 48914 and 48920?

Greatest common factor (GCF) of 48914 and 48920 is 2.

GCF(48914,48920) = 2

We will now calculate the prime factors of 48914 and 48920, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48914 and 48920.

How to find the GCF of 48914 and 48920?

We will first find the prime factorization of 48914 and 48920. After we will calculate the factors of 48914 and 48920 and find the biggest common factor number .

Step-1: Prime Factorization of 48914

Prime factors of 48914 are 2, 37, 661. Prime factorization of 48914 in exponential form is:

48914 = 2¹ × 37¹ × 661¹

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 48914

List of positive integer factors of 48914 that divides 48914 without a remainder.

1, 2, 37, 74, 661, 1322, 24457

Step-4: Factors of 48920

List of positive integer factors of 48920 that divides 48914 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 48914 and 48920. The biggest common factor number is the GCF number.
So the greatest common factor 48914 and 48920 is 2.

Also check out the Least Common Multiple of 48914 and 48920