What is the Greatest Common Factor of 68600 and 68614?

Greatest common factor (GCF) of 68600 and 68614 is 14.

GCF(68600,68614) = 14

We will now calculate the prime factors of 68600 and 68614, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68600 and 68614.

How to find the GCF of 68600 and 68614?

We will first find the prime factorization of 68600 and 68614. After we will calculate the factors of 68600 and 68614 and find the biggest common factor number .

Step-1: Prime Factorization of 68600

Prime factors of 68600 are 2, 5, 7. Prime factorization of 68600 in exponential form is:

68600 = 2³ × 5² × 7³

Step-2: Prime Factorization of 68614

Prime factors of 68614 are 2, 7, 13, 29. Prime factorization of 68614 in exponential form is:

68614 = 2¹ × 7¹ × 13² × 29¹

Step-3: Factors of 68600

List of positive integer factors of 68600 that divides 68600 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 25, 28, 35, 40, 49, 50, 56, 70, 98, 100, 140, 175, 196, 200, 245, 280, 343, 350, 392, 490, 686, 700, 980, 1225, 1372, 1400, 1715, 1960, 2450, 2744, 3430, 4900, 6860, 8575, 9800, 13720, 17150, 34300

Step-4: Factors of 68614

List of positive integer factors of 68614 that divides 68600 without a remainder.

1, 2, 7, 13, 14, 26, 29, 58, 91, 169, 182, 203, 338, 377, 406, 754, 1183, 2366, 2639, 4901, 5278, 9802, 34307

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68600 and 68614. The biggest common factor number is the GCF number.
So the greatest common factor 68600 and 68614 is 14.

Also check out the Least Common Multiple of 68600 and 68614