What is the Greatest Common Factor of 14920 and 14930?

Greatest common factor (GCF) of 14920 and 14930 is 10.

GCF(14920,14930) = 10

We will now calculate the prime factors of 14920 and 14930, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14920 and 14930.

How to find the GCF of 14920 and 14930?

We will first find the prime factorization of 14920 and 14930. After we will calculate the factors of 14920 and 14930 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 14930

Prime factors of 14930 are 2, 5, 1493. Prime factorization of 14930 in exponential form is:

14930 = 2¹ × 5¹ × 1493¹

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 14930

List of positive integer factors of 14930 that divides 14920 without a remainder.

1, 2, 5, 10, 1493, 2986, 7465

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14920 and 14930. The biggest common factor number is the GCF number.
So the greatest common factor 14920 and 14930 is 10.

Also check out the Least Common Multiple of 14920 and 14930