GCF of 964 and 217

What is the GCF of 964 and 217?


GCF of 964 and 217

is 1

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What is the Greatest Common Factor of 964 and 217? 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 964 and 217 using those formula above, step by step instructions are given below

Prime Factorization Method:

  1. Find the prime factors of the first number 964.
    2, 2, 241
  2. Find the prime factors of the second number 217.
    7, 31
  3. If, There are no common prime factors then the GCF value will be
    1

Factors Method:

  1. Find the factors of the first number 964.
    1, 2, 4, 241, 482, 964
  2. Find the factors of the second number 217.
    1, 7, 31, 217
  3. The biggest common factor number is the GCF value. Which is,
    1

Number GCF LCM
964 & 212 4 51092
964 & 213 1 205332
964 & 214 2 103148
964 & 215 1 207260
964 & 216 4 52056
964 & 217 1 209188
964 & 218 2 105076
964 & 219 1 211116
964 & 220 4 53020
964 & 221 1 213044
964 & 222 2 107004

GCF (Greatest Common Factor) of 964 and 217 is 1.

GCD (Greatest Common Divisor) of 964 and 217 is 1.

HCF (Highest Common Factor) of 964 and 217 is 1.