What is the Greatest Common Factor of 42100 and 42106?

Greatest common factor (GCF) of 42100 and 42106 is 2.

GCF(42100,42106) = 2

We will now calculate the prime factors of 42100 and 42106, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42100 and 42106.

How to find the GCF of 42100 and 42106?

We will first find the prime factorization of 42100 and 42106. After we will calculate the factors of 42100 and 42106 and find the biggest common factor number .

Step-1: Prime Factorization of 42100

Prime factors of 42100 are 2, 5, 421. Prime factorization of 42100 in exponential form is:

42100 = 2² × 5² × 421¹

Step-2: Prime Factorization of 42106

Prime factors of 42106 are 2, 37, 569. Prime factorization of 42106 in exponential form is:

42106 = 2¹ × 37¹ × 569¹

Step-3: Factors of 42100

List of positive integer factors of 42100 that divides 42100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 421, 842, 1684, 2105, 4210, 8420, 10525, 21050

Step-4: Factors of 42106

List of positive integer factors of 42106 that divides 42100 without a remainder.

1, 2, 37, 74, 569, 1138, 21053

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42100 and 42106. The biggest common factor number is the GCF number.
So the greatest common factor 42100 and 42106 is 2.

Also check out the Least Common Multiple of 42100 and 42106