GCF for 54 and 252

"Greatest Common Factor" Calculator

Greatest Common Factor of

and

What is the Greatest common Divisor of 54 and 252?

Answer: GCF of 54 and 252 is 18

(Eighteen)

Finding GCF for 54 and 252 using all factors (divisors) listing

The first method to find GCF for numbers 54 and 252 is to list all factors for both numbers and pick the highest common one:

All factors of 54: 1, 2, 3, 6, 9, 18, 27, 54

All factors of 252: 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

So the Greatest Common Factor for 54 and 252 is 18

Finding GCF for 54 and 252 by Prime Factorization

The second method to find GCF for numbers 54 and 252 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 54: 2, 3, 3, 3

All Prime Factors of 252: 2, 2, 3, 3, 7

As we can see there are Prime Factors common to both numbers: 2, 3, 3

Now we need to multiply them to find GCF: 2 × 3 × 3 = 18

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 54 and 252? (The answer is: 18). Select the first number (e.g. '54') and the second number (e.g. '252'). 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
392523
402524
412521
4225242
432521
442524
452529
462522
472521
4825212
492527
502522
512523
522524
532521
5425218
552521
5625228
572523
582522
592521
6025212
612521
622522
6325263
642524
652521
662526
672521
682524

FAQ

What is the Greatest common Divisor of 54 and 252?

GCF of 54 and 252 is 18

See Also