GCF of 66 and 62

What is the GCF of 66 and 62?

GCF of 66 and 62

is 2

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Greatest Common Factor

What is the Greatest Common Factor of 66 and 62? 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 66 and 62 using those formula above, step by step instructions are given below

Prime Factorization Method:

  1. Find the prime factors of the first number 66.
    2, 3, 11
  2. Find the prime factors of the second number 62.
    2, 31
  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 66.
    1, 2, 3, 6, 11, 22, 33, 66
  2. Find the factors of the second number 62.
    1, 2, 31, 62
  3. The biggest common factor number is the GCF value. Which is,
    2

Number GCF LCM
66 & 57 3 1254
66 & 58 2 1914
66 & 59 1 3894
66 & 60 6 660
66 & 61 1 4026
66 & 62 2 2046
66 & 63 3 1386
66 & 64 2 2112
66 & 65 1 4290
66 & 66 66 66
66 & 67 1 4422

GCF (Greatest Common Factor) of 66 and 62 is 2.

GCD (Greatest Common Divisor) of 66 and 62 is 2.

HCF (Highest Common Factor) of 66 and 62 is 2.
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