GCF of 1005 and 775

What is the GCF of 1005 and 775?


GCF of 1005 and 775

is 5

Formula How to

Share This Calculation:
Reference This Calculation:

What is the Greatest Common Factor of 1005 and 775? 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 775 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 775.
    5, 5, 31
  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 1005.
    1, 3, 5, 15, 67, 201, 335, 1005
  2. Find the factors of the second number 775.
    1, 5, 25, 31, 155, 775
  3. The biggest common factor number is the GCF value. Which is,
    5

GCF (Greatest Common Factor) of 1005 and 775 is 5.

GCD (Greatest Common Divisor) of 1005 and 775 is 5.

HCF (Highest Common Factor) of 1005 and 775 is 5.

Number GCF LCM
1005 & 770 5 154770
1005 & 771 3 258285
1005 & 772 1 775860
1005 & 773 1 776865
1005 & 774 3 259290
1005 & 775 5 155775
1005 & 776 1 779880
1005 & 777 3 260295
1005 & 778 1 781890
1005 & 779 1 782895
1005 & 780 15 52260