What is the Greatest Common Factor of 41384 and 41402?

Greatest common factor (GCF) of 41384 and 41402 is 2.

GCF(41384,41402) = 2

We will now calculate the prime factors of 41384 and 41402, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41384 and 41402.

How to find the GCF of 41384 and 41402?

We will first find the prime factorization of 41384 and 41402. After we will calculate the factors of 41384 and 41402 and find the biggest common factor number .

Step-1: Prime Factorization of 41384

Prime factors of 41384 are 2, 7, 739. Prime factorization of 41384 in exponential form is:

41384 = 2³ × 7¹ × 739¹

Step-2: Prime Factorization of 41402

Prime factors of 41402 are 2, 127, 163. Prime factorization of 41402 in exponential form is:

41402 = 2¹ × 127¹ × 163¹

Step-3: Factors of 41384

List of positive integer factors of 41384 that divides 41384 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 739, 1478, 2956, 5173, 5912, 10346, 20692

Step-4: Factors of 41402

List of positive integer factors of 41402 that divides 41384 without a remainder.

1, 2, 127, 163, 254, 326, 20701

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41384 and 41402. The biggest common factor number is the GCF number.
So the greatest common factor 41384 and 41402 is 2.

Also check out the Least Common Multiple of 41384 and 41402