GCF of 135 and 350

What is the GCF of 135 and 350?


GCF of 135 and 350

is 5

Formula How to

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What is the Greatest Common Factor of 135 and 350? 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 135 and 350 using those formula above, step by step instructions are given below

Prime Factorization Method:

  1. Find the prime factors of the first number 135.
    3, 3, 3, 5
  2. Find the prime factors of the second number 350.
    2, 5, 5, 7
  3. Multiply of all the common prime factors is the GCF value. Which is,
    5

Factors Method:

  1. Find the factors of the first number 135.
    1, 3, 5, 9, 15, 27, 45, 135
  2. Find the factors of the second number 350.
    1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350
  3. The biggest common factor number is the GCF value. Which is,
    5

GCF (Greatest Common Factor) of 135 and 350 is 5.

GCD (Greatest Common Divisor) of 135 and 350 is 5.

HCF (Highest Common Factor) of 135 and 350 is 5.

Number GCF LCM
135 & 345 15 3105
135 & 346 1 46710
135 & 347 1 46845
135 & 348 3 15660
135 & 349 1 47115
135 & 350 5 9450
135 & 351 27 1755
135 & 352 1 47520
135 & 353 1 47655
135 & 354 3 15930
135 & 355 5 9585