What is the Greatest Common Factor of 61614 and 61624?

Greatest common factor (GCF) of 61614 and 61624 is 2.

GCF(61614,61624) = 2

We will now calculate the prime factors of 61614 and 61624, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61614 and 61624.

How to find the GCF of 61614 and 61624?

We will first find the prime factorization of 61614 and 61624. After we will calculate the factors of 61614 and 61624 and find the biggest common factor number .

Step-1: Prime Factorization of 61614

Prime factors of 61614 are 2, 3, 7, 163. Prime factorization of 61614 in exponential form is:

61614 = 2¹ × 3³ × 7¹ × 163¹

Step-2: Prime Factorization of 61624

Prime factors of 61624 are 2, 7703. Prime factorization of 61624 in exponential form is:

61624 = 2³ × 7703¹

Step-3: Factors of 61614

List of positive integer factors of 61614 that divides 61614 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 163, 189, 326, 378, 489, 978, 1141, 1467, 2282, 2934, 3423, 4401, 6846, 8802, 10269, 20538, 30807

Step-4: Factors of 61624

List of positive integer factors of 61624 that divides 61614 without a remainder.

1, 2, 4, 8, 7703, 15406, 30812

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61614 and 61624. The biggest common factor number is the GCF number.
So the greatest common factor 61614 and 61624 is 2.

Also check out the Least Common Multiple of 61614 and 61624