What is the Greatest Common Factor of 41678 and 41692?

Greatest common factor (GCF) of 41678 and 41692 is 14.

GCF(41678,41692) = 14

We will now calculate the prime factors of 41678 and 41692, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41678 and 41692.

How to find the GCF of 41678 and 41692?

We will first find the prime factorization of 41678 and 41692. After we will calculate the factors of 41678 and 41692 and find the biggest common factor number .

Step-1: Prime Factorization of 41678

Prime factors of 41678 are 2, 7, 13, 229. Prime factorization of 41678 in exponential form is:

41678 = 2¹ × 7¹ × 13¹ × 229¹

Step-2: Prime Factorization of 41692

Prime factors of 41692 are 2, 7, 1489. Prime factorization of 41692 in exponential form is:

41692 = 2² × 7¹ × 1489¹

Step-3: Factors of 41678

List of positive integer factors of 41678 that divides 41678 without a remainder.

1, 2, 7, 13, 14, 26, 91, 182, 229, 458, 1603, 2977, 3206, 5954, 20839

Step-4: Factors of 41692

List of positive integer factors of 41692 that divides 41678 without a remainder.

1, 2, 4, 7, 14, 28, 1489, 2978, 5956, 10423, 20846

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41678 and 41692. The biggest common factor number is the GCF number.
So the greatest common factor 41678 and 41692 is 14.

Also check out the Least Common Multiple of 41678 and 41692