GCF of 965 and 704

What is the GCF of 965 and 704?


GCF of 965 and 704

is 1

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What is the Greatest Common Factor of 965 and 704? 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 965 and 704 using those formula above, step by step instructions are given below

Prime Factorization Method:

  1. Find the prime factors of the first number 965.
    5, 193
  2. Find the prime factors of the second number 704.
    2, 2, 2, 2, 2, 2, 11
  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 965.
    1, 5, 193, 965
  2. Find the factors of the second number 704.
    1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
  3. The biggest common factor number is the GCF value. Which is,
    1

Number GCF LCM
965 & 699 1 674535
965 & 700 5 135100
965 & 701 1 676465
965 & 702 1 677430
965 & 703 1 678395
965 & 704 1 679360
965 & 705 5 136065
965 & 706 1 681290
965 & 707 1 682255
965 & 708 1 683220
965 & 709 1 684185

GCF (Greatest Common Factor) of 965 and 704 is 1.

GCD (Greatest Common Divisor) of 965 and 704 is 1.

HCF (Highest Common Factor) of 965 and 704 is 1.