What is the Greatest Common Factor of 20054 and 20070?

Greatest common factor (GCF) of 20054 and 20070 is 2.

GCF(20054,20070) = 2

We will now calculate the prime factors of 20054 and 20070, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20054 and 20070.

How to find the GCF of 20054 and 20070?

We will first find the prime factorization of 20054 and 20070. After we will calculate the factors of 20054 and 20070 and find the biggest common factor number .

Step-1: Prime Factorization of 20054

Prime factors of 20054 are 2, 37, 271. Prime factorization of 20054 in exponential form is:

20054 = 2¹ × 37¹ × 271¹

Step-2: Prime Factorization of 20070

Prime factors of 20070 are 2, 3, 5, 223. Prime factorization of 20070 in exponential form is:

20070 = 2¹ × 3² × 5¹ × 223¹

Step-3: Factors of 20054

List of positive integer factors of 20054 that divides 20054 without a remainder.

1, 2, 37, 74, 271, 542, 10027

Step-4: Factors of 20070

List of positive integer factors of 20070 that divides 20054 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 223, 446, 669, 1115, 1338, 2007, 2230, 3345, 4014, 6690, 10035

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20054 and 20070. The biggest common factor number is the GCF number.
So the greatest common factor 20054 and 20070 is 2.

Also check out the Least Common Multiple of 20054 and 20070