GCF for 130 and 234

What is the Greatest common Divisor of 130 and 234?

Answer: GCF of 130 and 234 is 26

(Twenty-six)

Finding GCF for 130 and 234 using all factors (divisors) listing

The first method to find GCF for numbers 130 and 234 is to list all factors for both numbers and pick the highest common one:

All factors of 130: 1, 2, 5, 10, 13, 26, 65, 130

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

So the Greatest Common Factor for 130 and 234 is 26

Finding GCF for 130 and 234 by Prime Factorization

The second method to find GCF for numbers 130 and 234 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 130: 2, 5, 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
1152341
1162342
117234117
1182342
1192341
1202346
1212341
1222342
1232343
1242342
1252341
12623418
1272341
1282342
1292343
130234
1312341
1322346
1332341
1342342
1352349
1362342
1372341
1382346
1392341
1402342
1412343
1422342
14323413
14423418

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 130 and 234? (The answer is: 26). Select the first number (e.g. '130') 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 130 and 234?

GCF of 130 and 234 is 26