GCF of 97 and 360

What is the GCF of 97 and 360?


GCF of 97 and 360

is 1

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What is the Greatest Common Factor of 97 and 360? 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 97 and 360 using those formula above, step by step instructions are given below

Prime Factorization Method:

  1. Find the prime factors of the first number 97.
    97
  2. Find the prime factors of the second number 360.
    2, 2, 2, 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 97.
    1, 97
  2. Find the factors of the second number 360.
    1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
  3. The biggest common factor number is the GCF value. Which is,
    1

GCF (Greatest Common Factor) of 97 and 360 is 1.

GCD (Greatest Common Divisor) of 97 and 360 is 1.

HCF (Highest Common Factor) of 97 and 360 is 1.

Number GCF LCM
97 & 355 1 34435
97 & 356 1 34532
97 & 357 1 34629
97 & 358 1 34726
97 & 359 1 34823
97 & 360 1 34920
97 & 361 1 35017
97 & 362 1 35114
97 & 363 1 35211
97 & 364 1 35308
97 & 365 1 35405