What is the Greatest Common Factor of 42100 and 42112?

Greatest common factor (GCF) of 42100 and 42112 is 4.

GCF(42100,42112) = 4

We will now calculate the prime factors of 42100 and 42112, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42100 and 42112.

How to find the GCF of 42100 and 42112?

We will first find the prime factorization of 42100 and 42112. After we will calculate the factors of 42100 and 42112 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 42112

Prime factors of 42112 are 2, 7, 47. Prime factorization of 42112 in exponential form is:

42112 = 2⁷ × 7¹ × 47¹

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 42112

List of positive integer factors of 42112 that divides 42100 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 47, 56, 64, 94, 112, 128, 188, 224, 329, 376, 448, 658, 752, 896, 1316, 1504, 2632, 3008, 5264, 6016, 10528, 21056

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42100 and 42112. The biggest common factor number is the GCF number.
So the greatest common factor 42100 and 42112 is 4.

Also check out the Least Common Multiple of 42100 and 42112