GCF of 14 and 49

What is the GCF of 14 and 49?

GCF of 14 and 49

is 7

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Greatest Common Factor

What is the Greatest Common Factor of 14 and 49? 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 14 and 49 using those formula above, step by step instructions are given below

Prime Factorization Method:

  1. Find the prime factors of the first number 14.
    2, 7
  2. Find the prime factors of the second number 49.
    7, 7
  3. Multiply of all the common prime factors is the GCF value. Which is,
    7

Factors Method:

  1. Find the factors of the first number 14.
    1, 2, 7, 14
  2. Find the factors of the second number 49.
    1, 7, 49
  3. The biggest common factor number is the GCF value. Which is,
    7

Number GCF LCM
14 & 44 2 308
14 & 45 1 630
14 & 46 2 322
14 & 47 1 658
14 & 48 2 336
14 & 49 7 98
14 & 50 2 350
14 & 51 1 714
14 & 52 2 364
14 & 53 1 742
14 & 54 2 378

GCF (Greatest Common Factor) of 14 and 49 is 7.

GCD (Greatest Common Divisor) of 14 and 49 is 7.

HCF (Highest Common Factor) of 14 and 49 is 7.
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