GCF of 126 and 986

What is the GCF of 126 and 986?


GCF of 126 and 986

is 2

Formula How to

Share This Calculation:
Reference This Calculation:

What is the Greatest Common Factor of 126 and 986? 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 126 and 986 using those formula above, step by step instructions are given below

Prime Factorization Method:

  1. Find the prime factors of the first number 126.
    2, 3, 3, 7
  2. Find the prime factors of the second number 986.
    2, 17, 29
  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 126.
    1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
  2. Find the factors of the second number 986.
    1, 2, 17, 29, 34, 58, 493, 986
  3. The biggest common factor number is the GCF value. Which is,
    2

GCF (Greatest Common Factor) of 126 and 986 is 2.

GCD (Greatest Common Divisor) of 126 and 986 is 2.

HCF (Highest Common Factor) of 126 and 986 is 2.

Number GCF LCM
126 & 981 9 13734
126 & 982 2 61866
126 & 983 1 123858
126 & 984 6 20664
126 & 985 1 124110
126 & 986 2 62118
126 & 987 21 5922
126 & 988 2 62244
126 & 989 1 124614
126 & 990 18 6930
126 & 991 1 124866