GCF of 978 and 576

What is the GCF of 978 and 576?

GCF of 978 and 576

is 6

Formula How to
Share This Calculation:
Reference This Calculation:
Greatest Common Factor

What is the Greatest Common Factor of 978 and 576? The greatest common factor (GCF) of a set of numbers is the largest positive integer that divides each of the numbers evenly. It's also called the greatest common divisor (GCD).

The GCF can be found using a variety of methods, including prime factorization and division. The Euclidean algorithm is a commonly used method for finding the GCF of two numbers, and it can be extended to finding the GCF of more than two numbers.

To find GCF (Greatest Common Factor) between two numbers, mainly there are two methods available, Those are-

1. Prime Factorization Method: Find the prime factors of both number and then multiply of all the common prime factors value, you will get the GCF value.

2. Factors Method: Find the factors of both number. In those both factors the highest common factor number is the GCF value.

For calculation, here's how to calculate GCF of 978 and 576 using those formula above, step by step instructions are given below

Prime Factorization Method:

  1. Find the prime factors of the first number 978.
    2, 3, 163
  2. Find the prime factors of the second number 576.
    2, 2, 2, 2, 2, 2, 3, 3
  3. Multiply of all the common prime factors is the GCF value. Which is,
    6

Factors Method:

  1. Find the factors of the first number 978.
    1, 2, 3, 6, 163, 326, 489, 978
  2. Find the factors of the second number 576.
    1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576
  3. The biggest common factor number is the GCF value. Which is,
    6

Number GCF LCM
978 & 571 1 558438
978 & 572 2 279708
978 & 573 3 186798
978 & 574 2 280686
978 & 575 1 562350
978 & 576 6 93888
978 & 577 1 564306
978 & 578 2 282642
978 & 579 3 188754
978 & 580 2 283620
978 & 581 1 568218

GCF (Greatest Common Factor) of 978 and 576 is 6.

GCD (Greatest Common Divisor) of 978 and 576 is 6.

HCF (Highest Common Factor) of 978 and 576 is 6.
Calculations