What is the Greatest Common Factor of 40614 and 40624?

Greatest common factor (GCF) of 40614 and 40624 is 2.

GCF(40614,40624) = 2

We will now calculate the prime factors of 40614 and 40624, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40614 and 40624.

How to find the GCF of 40614 and 40624?

We will first find the prime factorization of 40614 and 40624. After we will calculate the factors of 40614 and 40624 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 40624

Prime factors of 40624 are 2, 2539. Prime factorization of 40624 in exponential form is:

40624 = 2⁴ × 2539¹

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 40624

List of positive integer factors of 40624 that divides 40614 without a remainder.

1, 2, 4, 8, 16, 2539, 5078, 10156, 20312

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40614 and 40624. The biggest common factor number is the GCF number.
So the greatest common factor 40614 and 40624 is 2.

Also check out the Least Common Multiple of 40614 and 40624