GCF of 356 and 45

What is the GCF of 356 and 45?


GCF of 356 and 45

is 1

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What is the Greatest Common Factor of 356 and 45? 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 356 and 45 using those formula above, step by step instructions are given below

Prime Factorization Method:

  1. Find the prime factors of the first number 356.
    2, 2, 89
  2. Find the prime factors of the second number 45.
    3, 3, 5
  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 356.
    1, 2, 4, 89, 178, 356
  2. Find the factors of the second number 45.
    1, 3, 5, 9, 15, 45
  3. The biggest common factor number is the GCF value. Which is,
    1

GCF (Greatest Common Factor) of 356 and 45 is 1.

GCD (Greatest Common Divisor) of 356 and 45 is 1.

HCF (Highest Common Factor) of 356 and 45 is 1.

Number GCF LCM
356 & 40 4 3560
356 & 41 1 14596
356 & 42 2 7476
356 & 43 1 15308
356 & 44 4 3916
356 & 45 1 16020
356 & 46 2 8188
356 & 47 1 16732
356 & 48 4 4272
356 & 49 1 17444
356 & 50 2 8900