GCF for 208 and 234

What is the Greatest common Divisor of 208 and 234?

Answer: GCF of 208 and 234 is 26

(Twenty-six)

Finding GCF for 208 and 234 using all factors (divisors) listing

The first method to find GCF for numbers 208 and 234 is to list all factors for both numbers and pick the highest common one:

All factors of 208: 1, 2, 4, 8, 13, 16, 26, 52, 104, 208

All factors of 234: 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

So the Greatest Common Factor for 208 and 234 is 26

Finding GCF for 208 and 234 by Prime Factorization

The second method to find GCF for numbers 208 and 234 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 208: 2, 2, 2, 2, 13

All Prime Factors of 234: 2, 3, 3, 13

As we can see there are Prime Factors common to both numbers: 2, 13

Now we need to multiply them to find GCF: 2 × 13 = 26

GCF Table

Number 1Number 2GCF
1932341
1942342
19523439
1962342
1972341
19823418
1992341
2002342
2012343
2022342
2032341
2042346
2052341
2062342
2072349
208234
2092341
2102346
2112341
2122342
2132343
2142342
2152341
21623418
2172341
2182342
2192343
2202342
22123413
2222346

About "Greatest Common Factor" Calculator

This calculator will help you find the greatest common factor (GCF) of two numbers. For example, it can help you find out what is the Greatest common Divisor of 208 and 234? (The answer is: 26). Select the first number (e.g. '208') and the second number (e.g. '234'). After that hit the 'Calculate' button.
Greatest Common Factor (GCF) also known as the Greatest Common Divisor (GCD) or Highest Common Factor (HCF) - it is the largest positive integer that divides each of the integers with zero remainder

FAQ

What is the Greatest common Divisor of 208 and 234?

GCF of 208 and 234 is 26