What is the Greatest Common Factor of 14920 and 14935?

Greatest common factor (GCF) of 14920 and 14935 is 5.

GCF(14920,14935) = 5

We will now calculate the prime factors of 14920 and 14935, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14920 and 14935.

How to find the GCF of 14920 and 14935?

We will first find the prime factorization of 14920 and 14935. After we will calculate the factors of 14920 and 14935 and find the biggest common factor number .

Step-1: Prime Factorization of 14920

Prime factors of 14920 are 2, 5, 373. Prime factorization of 14920 in exponential form is:

14920 = 2³ × 5¹ × 373¹

Step-2: Prime Factorization of 14935

Prime factors of 14935 are 5, 29, 103. Prime factorization of 14935 in exponential form is:

14935 = 5¹ × 29¹ × 103¹

Step-3: Factors of 14920

List of positive integer factors of 14920 that divides 14920 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 373, 746, 1492, 1865, 2984, 3730, 7460

Step-4: Factors of 14935

List of positive integer factors of 14935 that divides 14920 without a remainder.

1, 5, 29, 103, 145, 515, 2987

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14920 and 14935. The biggest common factor number is the GCF number.
So the greatest common factor 14920 and 14935 is 5.

Also check out the Least Common Multiple of 14920 and 14935