What is the Greatest Common Factor of 20146 and 20153?

Greatest common factor (GCF) of 20146 and 20153 is 7.

GCF(20146,20153) = 7

We will now calculate the prime factors of 20146 and 20153, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20146 and 20153.

How to find the GCF of 20146 and 20153?

We will first find the prime factorization of 20146 and 20153. After we will calculate the factors of 20146 and 20153 and find the biggest common factor number .

Step-1: Prime Factorization of 20146

Prime factors of 20146 are 2, 7, 1439. Prime factorization of 20146 in exponential form is:

20146 = 2¹ × 7¹ × 1439¹

Step-2: Prime Factorization of 20153

Prime factors of 20153 are 7, 2879. Prime factorization of 20153 in exponential form is:

20153 = 7¹ × 2879¹

Step-3: Factors of 20146

List of positive integer factors of 20146 that divides 20146 without a remainder.

1, 2, 7, 14, 1439, 2878, 10073

Step-4: Factors of 20153

List of positive integer factors of 20153 that divides 20146 without a remainder.

1, 7, 2879

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20146 and 20153. The biggest common factor number is the GCF number.
So the greatest common factor 20146 and 20153 is 7.

Also check out the Least Common Multiple of 20146 and 20153