GCF of 102 and 265

What is the GCF of 102 and 265?


GCF of 102 and 265

is 1

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What is the Greatest Common Factor of 102 and 265? 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 102 and 265 using those formula above, step by step instructions are given below

Prime Factorization Method:

  1. Find the prime factors of the first number 102.
    2, 3, 17
  2. Find the prime factors of the second number 265.
    5, 53
  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 102.
    1, 2, 3, 6, 17, 34, 51, 102
  2. Find the factors of the second number 265.
    1, 5, 53, 265
  3. The biggest common factor number is the GCF value. Which is,
    1

GCF (Greatest Common Factor) of 102 and 265 is 1.

GCD (Greatest Common Divisor) of 102 and 265 is 1.

HCF (Highest Common Factor) of 102 and 265 is 1.

Number GCF LCM
102 & 260 2 13260
102 & 261 3 8874
102 & 262 2 13362
102 & 263 1 26826
102 & 264 6 4488
102 & 265 1 27030
102 & 266 2 13566
102 & 267 3 9078
102 & 268 2 13668
102 & 269 1 27438
102 & 270 6 4590