GCF of 77 and 121 (Greatest Common Factor)

"Greatest Common Factor" Calculator
Greatest Common Factor of
and

What is the Greatest Common Divisor of 77 and 121?

Answer

GCF of 77 and 121 is
11

(Eleven)

Finding GCF for 77 and 121 using all factors (divisors) listing

The first method to find GCF for numbers 77 and 121 is to list all factors for both numbers and pick the highest common one:

All factors of 77: 1, 7, 11, 77

All factors of 121: 1, 11, 121

So the Greatest Common Factor for 77 and 121 is 11

Finding GCF for 77 and 121 by Prime Factorization

The second method to find GCF for numbers 77 and 121 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 77: 7, 11

All Prime Factors of 121: 11, 11

As we can see there is only one Prime Factor common to both numbers. It is 11

So 11 is the Greatest Common Factor of 77 and 121

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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 77 and 121? (The answer is: 11). Select the first number (e.g. '77') and the second number (e.g. '121'). 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
771061
771071
771081
771091
7711011
771111
771127
771131
771141
771151
771161
771171
771181
771197
771201
7712111
771221
771231
771241
771251
771267
771271
771281
771291
771301
771311
7713211
771337
771341
771351

FAQ

What is the Greatest Common Divisor of 77 and 121?

GCF of 77 and 121 is 11

How to find the GCF of 77 and 121?

You can find the GCF of 77 and 121 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 77 and 121 is 11.

What prime factors do 77 and 121 share?

The prime factorizations of 77 and 121 have 11 in common, and multiplying those shared primes gives 11 — exactly the greatest common factor.

How does the GCF reduce the fraction 77/121?

Divide the numerator and the denominator by the GCF 11: 77 ÷ 11 = 7 and 121 ÷ 11 = 11. So 77/121 in lowest terms is 7/11.

See Also