GCF of 138 and 989

What is the GCF of 138 and 989?


GCF of 138 and 989

is 23

Formula How to

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What is the Greatest Common Factor of 138 and 989? 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 138 and 989 using those formula above, step by step instructions are given below

Prime Factorization Method:

  1. Find the prime factors of the first number 138.
    2, 3, 23
  2. Find the prime factors of the second number 989.
    23, 43
  3. Multiply of all the common prime factors is the GCF value. Which is,
    23

Factors Method:

  1. Find the factors of the first number 138.
    1, 2, 3, 6, 23, 46, 69, 138
  2. Find the factors of the second number 989.
    1, 23, 43, 989
  3. The biggest common factor number is the GCF value. Which is,
    23

GCF (Greatest Common Factor) of 138 and 989 is 23.

GCD (Greatest Common Divisor) of 138 and 989 is 23.

HCF (Highest Common Factor) of 138 and 989 is 23.

Number GCF LCM
138 & 984 6 22632
138 & 985 1 135930
138 & 986 2 68034
138 & 987 3 45402
138 & 988 2 68172
138 & 989 23 5934
138 & 990 6 22770
138 & 991 1 136758
138 & 992 2 68448
138 & 993 3 45678
138 & 994 2 68586