What is the Greatest Common Factor of 68600 and 68620?

Greatest common factor (GCF) of 68600 and 68620 is 20.

GCF(68600,68620) = 20

We will now calculate the prime factors of 68600 and 68620, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68600 and 68620.

How to find the GCF of 68600 and 68620?

We will first find the prime factorization of 68600 and 68620. After we will calculate the factors of 68600 and 68620 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 68620

Prime factors of 68620 are 2, 5, 47, 73. Prime factorization of 68620 in exponential form is:

68620 = 2² × 5¹ × 47¹ × 73¹

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 68620

List of positive integer factors of 68620 that divides 68600 without a remainder.

1, 2, 4, 5, 10, 20, 47, 73, 94, 146, 188, 235, 292, 365, 470, 730, 940, 1460, 3431, 6862, 13724, 17155, 34310

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68600 and 68620. The biggest common factor number is the GCF number.
So the greatest common factor 68600 and 68620 is 20.

Also check out the Least Common Multiple of 68600 and 68620