GCF of 148 and 14

What is the GCF of 148 and 14?

GCF of 148 and 14

is 2

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Greatest Common Factor

What is the Greatest Common Factor of 148 and 14? 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 148 and 14 using those formula above, step by step instructions are given below

Prime Factorization Method:

  1. Find the prime factors of the first number 148.
    2, 2, 37
  2. Find the prime factors of the second number 14.
    2, 7
  3. Multiply of all the common prime factors is the GCF value. Which is,
    2

Factors Method:

  1. Find the factors of the first number 148.
    1, 2, 4, 37, 74, 148
  2. Find the factors of the second number 14.
    1, 2, 7, 14
  3. The biggest common factor number is the GCF value. Which is,
    2

Number GCF LCM
148 & 9 1 1332
148 & 10 2 740
148 & 11 1 1628
148 & 12 4 444
148 & 13 1 1924
148 & 14 2 1036
148 & 15 1 2220
148 & 16 4 592
148 & 17 1 2516
148 & 18 2 1332
148 & 19 1 2812

GCF (Greatest Common Factor) of 148 and 14 is 2.

GCD (Greatest Common Divisor) of 148 and 14 is 2.

HCF (Highest Common Factor) of 148 and 14 is 2.
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