GCF of 26 and 1002

What is the GCF of 26 and 1002?


GCF of 26 and 1002

is 2

Formula How to

Share This Calculation:
Reference This Calculation:

What is the Greatest Common Factor of 26 and 1002? 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 26 and 1002 using those formula above, step by step instructions are given below

Prime Factorization Method:

  1. Find the prime factors of the first number 26.
    2, 13
  2. Find the prime factors of the second number 1002.
    2, 3, 167
  3. Multiply of all the common prime factors is the GCF value. Which is,
    2

Factors Method:

  1. Find the factors of the first number 26.
    1, 2, 13, 26
  2. Find the factors of the second number 1002.
    1, 2, 3, 6, 167, 334, 501, 1002
  3. The biggest common factor number is the GCF value. Which is,
    2

GCF (Greatest Common Factor) of 26 and 1002 is 2.

GCD (Greatest Common Divisor) of 26 and 1002 is 2.

HCF (Highest Common Factor) of 26 and 1002 is 2.

Number GCF LCM
26 & 997 1 25922
26 & 998 2 12974
26 & 999 1 25974
26 & 1000 2 13000
26 & 1001 13 2002
26 & 1002 2 13026
26 & 1003 1 26078
26 & 1004 2 13052
26 & 1005 1 26130
26 & 1006 2 13078
26 & 1007 1 26182