GCF of 1007 and 153

What is the GCF of 1007 and 153?


GCF of 1007 and 153

is 1

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What is the Greatest Common Factor of 1007 and 153? 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 1007 and 153 using those formula above, step by step instructions are given below

Prime Factorization Method:

  1. Find the prime factors of the first number 1007.
    19, 53
  2. Find the prime factors of the second number 153.
    3, 3, 17
  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 1007.
    1, 19, 53, 1007
  2. Find the factors of the second number 153.
    1, 3, 9, 17, 51, 153
  3. The biggest common factor number is the GCF value. Which is,
    1

GCF (Greatest Common Factor) of 1007 and 153 is 1.

GCD (Greatest Common Divisor) of 1007 and 153 is 1.

HCF (Highest Common Factor) of 1007 and 153 is 1.

Number GCF LCM
1007 & 148 1 149036
1007 & 149 1 150043
1007 & 150 1 151050
1007 & 151 1 152057
1007 & 152 19 8056
1007 & 153 1 154071
1007 & 154 1 155078
1007 & 155 1 156085
1007 & 156 1 157092
1007 & 157 1 158099
1007 & 158 1 159106