What is the Greatest Common Factor of 40607 and 40614?

Greatest common factor (GCF) of 40607 and 40614 is 7.

GCF(40607,40614) = 7

We will now calculate the prime factors of 40607 and 40614, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40607 and 40614.

How to find the GCF of 40607 and 40614?

We will first find the prime factorization of 40607 and 40614. After we will calculate the factors of 40607 and 40614 and find the biggest common factor number .

Step-1: Prime Factorization of 40607

Prime factors of 40607 are 7, 5801. Prime factorization of 40607 in exponential form is:

40607 = 7¹ × 5801¹

Step-2: 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-3: Factors of 40607

List of positive integer factors of 40607 that divides 40607 without a remainder.

1, 7, 5801

Step-4: Factors of 40614

List of positive integer factors of 40614 that divides 40607 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40607 and 40614. The biggest common factor number is the GCF number.
So the greatest common factor 40607 and 40614 is 7.

Also check out the Least Common Multiple of 40607 and 40614