GCF of 26 and 117 (Greatest Common Factor)

"Greatest Common Factor" Calculator
Greatest Common Factor of
and

What is the Greatest Common Divisor of 26 and 117?

Answer

GCF of 26 and 117 is
13

(Thirteen)

Finding GCF for 26 and 117 using all factors (divisors) listing

The first method to find GCF for numbers 26 and 117 is to list all factors for both numbers and pick the highest common one:

All factors of 26: 1, 2, 13, 26

All factors of 117: 1, 3, 9, 13, 39, 117

So the Greatest Common Factor for 26 and 117 is 13

Finding GCF for 26 and 117 by Prime Factorization

The second method to find GCF for numbers 26 and 117 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 26: 2, 13

All Prime Factors of 117: 3, 3, 13

As we can see there is only one Prime Factor common to both numbers. It is 13

So 13 is the Greatest Common Factor of 26 and 117

Related Calculations

See Also

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 26 and 117? (The answer is: 13). Select the first number (e.g. '26') and the second number (e.g. '117'). 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.
"Greatest Common Factor" Calculator
Greatest Common Factor of
and

GCF Table

Number 1Number 2GCF
26271
26282
26302
26322
26331
26342
26351
26362
26371
26382
263913
26402
26422
26431
26442
26451
26462
26471
26482
26491
26502
26511
265226
26531
26542
266513
2611713

FAQ

What is the Greatest Common Divisor of 26 and 117?

GCF of 26 and 117 is 13

How to find the GCF of 26 and 117?

You can find the GCF of 26 and 117 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 26 and 117 is 13.

What prime factors do 26 and 117 share?

The prime factorizations of 26 and 117 have 13 in common, and multiplying those shared primes gives 13 — exactly the greatest common factor.

How does the GCF reduce the fraction 26/117?

Divide the numerator and the denominator by the GCF 13: 26 ÷ 13 = 2 and 117 ÷ 13 = 9. So 26/117 in lowest terms is 2/9.

See Also