GCF of 31 and 35

What is the GCF of 31 and 35?

GCF of 31 and 35

is 1

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Greatest Common Factor

What is the Greatest Common Factor of 31 and 35? 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 31 and 35 using those formula above, step by step instructions are given below

Prime Factorization Method:

  1. Find the prime factors of the first number 31.
    31
  2. Find the prime factors of the second number 35.
    5, 7
  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 31.
    1, 31
  2. Find the factors of the second number 35.
    1, 5, 7, 35
  3. The biggest common factor number is the GCF value. Which is,
    1

GCF (Greatest Common Factor) of 31 and 35 is 1.

GCD (Greatest Common Divisor) of 31 and 35 is 1.

HCF (Highest Common Factor) of 31 and 35 is 1.

Number GCF LCM
31 & 30 1 930
31 & 31 31 31
31 & 32 1 992
31 & 33 1 1023
31 & 34 1 1054
31 & 35 1 1085
31 & 36 1 1116
31 & 37 1 1147
31 & 38 1 1178
31 & 39 1 1209
31 & 40 1 1240
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