GCF of 364 and 1014

What is the GCF of 364 and 1014?


GCF of 364 and 1014

is 26

Formula How to

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What is the Greatest Common Factor of 364 and 1014? 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 364 and 1014 using those formula above, step by step instructions are given below

Prime Factorization Method:

  1. Find the prime factors of the first number 364.
    2, 2, 7, 13
  2. Find the prime factors of the second number 1014.
    2, 3, 13, 13
  3. Multiply of all the common prime factors is the GCF value. Which is,
    26

Factors Method:

  1. Find the factors of the first number 364.
    1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
  2. Find the factors of the second number 1014.
    1, 2, 3, 6, 13, 26, 39, 78, 169, 338, 507, 1014
  3. The biggest common factor number is the GCF value. Which is,
    26

GCF (Greatest Common Factor) of 364 and 1014 is 26.

GCD (Greatest Common Divisor) of 364 and 1014 is 26.

HCF (Highest Common Factor) of 364 and 1014 is 26.

Number GCF LCM
364 & 1009 1 367276
364 & 1010 2 183820
364 & 1011 1 368004
364 & 1012 4 92092
364 & 1013 1 368732
364 & 1014 26 14196
364 & 1015 7 52780
364 & 1016 4 92456
364 & 1017 1 370188
364 & 1018 2 185276
364 & 1019 1 370916