What is the Greatest Common Factor of 40614 and 40628?

Greatest common factor (GCF) of 40614 and 40628 is 14.

GCF(40614,40628) = 14

We will now calculate the prime factors of 40614 and 40628, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40614 and 40628.

How to find the GCF of 40614 and 40628?

We will first find the prime factorization of 40614 and 40628. After we will calculate the factors of 40614 and 40628 and find the biggest common factor number .

Step-1: Prime Factorization of 40614

Prime factors of 40614 are 2, 3, 7, 967. Prime factorization of 40614 in exponential form is:

40614 = 2¹ × 3¹ × 7¹ × 967¹

Step-2: Prime Factorization of 40628

Prime factors of 40628 are 2, 7, 1451. Prime factorization of 40628 in exponential form is:

40628 = 2² × 7¹ × 1451¹

Step-3: Factors of 40614

List of positive integer factors of 40614 that divides 40614 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 967, 1934, 2901, 5802, 6769, 13538, 20307

Step-4: Factors of 40628

List of positive integer factors of 40628 that divides 40614 without a remainder.

1, 2, 4, 7, 14, 28, 1451, 2902, 5804, 10157, 20314

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40614 and 40628. The biggest common factor number is the GCF number.
So the greatest common factor 40614 and 40628 is 14.

Also check out the Least Common Multiple of 40614 and 40628