What is the Greatest Common Factor of 42100 and 42107?

Greatest common factor (GCF) of 42100 and 42107 is 1.

GCF(42100,42107) = 1

We will now calculate the prime factors of 42100 and 42107, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42100 and 42107.

How to find the GCF of 42100 and 42107?

We will first find the prime factorization of 42100 and 42107. After we will calculate the factors of 42100 and 42107 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 42107

Prime factors of 42107 are 13, 41, 79. Prime factorization of 42107 in exponential form is:

42107 = 13¹ × 41¹ × 79¹

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 42107

List of positive integer factors of 42107 that divides 42100 without a remainder.

1, 13, 41, 79, 533, 1027, 3239

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42100 and 42107. The biggest common factor number is the GCF number.
So the greatest common factor 42100 and 42107 is 1.

Also check out the Least Common Multiple of 42100 and 42107