GCF of 68 and 61

What is the GCF of 68 and 61?


GCF of 68 and 61

is 1

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What is the Greatest Common Factor of 68 and 61? 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 68 and 61 using those formula above, step by step instructions are given below

Prime Factorization Method:

  1. Find the prime factors of the first number 68.
    2, 2, 17
  2. Find the prime factors of the second number 61.
    61
  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 68.
    1, 2, 4, 17, 34, 68
  2. Find the factors of the second number 61.
    1, 61
  3. The biggest common factor number is the GCF value. Which is,
    1

Number GCF LCM
68 & 56 4 952
68 & 57 1 3876
68 & 58 2 1972
68 & 59 1 4012
68 & 60 4 1020
68 & 61 1 4148
68 & 62 2 2108
68 & 63 1 4284
68 & 64 4 1088
68 & 65 1 4420
68 & 66 2 2244

GCF (Greatest Common Factor) of 68 and 61 is 1.

GCD (Greatest Common Divisor) of 68 and 61 is 1.

HCF (Highest Common Factor) of 68 and 61 is 1.