GCF of 1002 and 035

What is the GCF of 1002 and 035?


GCF of 1002 and 035

is 1

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What is the Greatest Common Factor of 1002 and 035? 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 1002 and 035 using those formula above, step by step instructions are given below

Prime Factorization Method:

  1. Find the prime factors of the first number 1002.
    2, 3, 167
  2. Find the prime factors of the second number 035.
    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 1002.
    1, 2, 3, 6, 167, 334, 501, 1002
  2. Find the factors of the second number 035.
    1, 5, 7, 35
  3. The biggest common factor number is the GCF value. Which is,
    1

GCF (Greatest Common Factor) of 1002 and 035 is 1.

GCD (Greatest Common Divisor) of 1002 and 035 is 1.

HCF (Highest Common Factor) of 1002 and 035 is 1.

Number GCF LCM
1002 & 30 6 5010
1002 & 31 1 31062
1002 & 32 2 16032
1002 & 33 3 11022
1002 & 34 2 17034
1002 & 35 1 35070
1002 & 36 6 6012
1002 & 37 1 37074
1002 & 38 2 19038
1002 & 39 3 13026
1002 & 40 2 20040