GCF of 1005 and 307

What is the GCF of 1005 and 307?


GCF of 1005 and 307

is 1

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What is the Greatest Common Factor of 1005 and 307? 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 1005 and 307 using those formula above, step by step instructions are given below

Prime Factorization Method:

  1. Find the prime factors of the first number 1005.
    3, 5, 67
  2. Find the prime factors of the second number 307.
    307
  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 1005.
    1, 3, 5, 15, 67, 201, 335, 1005
  2. Find the factors of the second number 307.
    1, 307
  3. The biggest common factor number is the GCF value. Which is,
    1

GCF (Greatest Common Factor) of 1005 and 307 is 1.

GCD (Greatest Common Divisor) of 1005 and 307 is 1.

HCF (Highest Common Factor) of 1005 and 307 is 1.

Number GCF LCM
1005 & 302 1 303510
1005 & 303 3 101505
1005 & 304 1 305520
1005 & 305 5 61305
1005 & 306 3 102510
1005 & 307 1 308535
1005 & 308 1 309540
1005 & 309 3 103515
1005 & 310 5 62310
1005 & 311 1 312555
1005 & 312 3 104520