GCF for 56 and 152

What is the Greatest common Divisor of 56 and 152?

Answer: GCF of 56 and 152 is 8

(Eight)

Finding GCF for 56 and 152 using all factors (divisors) listing

The first method to find GCF for numbers 56 and 152 is to list all factors for both numbers and pick the highest common one:

All factors of 56: 1, 2, 4, 7, 8, 14, 28, 56

All factors of 152: 1, 2, 4, 8, 19, 38, 76, 152

So the Greatest Common Factor for 56 and 152 is 8

Finding GCF for 56 and 152 by Prime Factorization

The second method to find GCF for numbers 56 and 152 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 56: 2, 2, 2, 7

All Prime Factors of 152: 2, 2, 2, 19

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

Now we need to multiply them to find GCF: 2 × 2 × 2 = 8

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 56 and 152? (The answer is: 8). Select the first number (e.g. '56') and the second number (e.g. '152'). 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

GCF Table

Number 1Number 2GCF
411521
421522
431521
441524
451521
461522
471521
481528
491521
501522
511521
521524
531521
541522
551521
56152
5715219
581522
591521
601524
611521
621522
631521
641528
651521
661522
671521
681524
691521
701522

FAQ

What is the Greatest common Divisor of 56 and 152?

GCF of 56 and 152 is 8