GCF of 1375 and 1001

What is the GCF of 1375 and 1001?


GCF of 1375 and 1001

is 11

Formula How to

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What is the Greatest Common Factor of 1375 and 1001? 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 1375 and 1001 using those formula above, step by step instructions are given below

Prime Factorization Method:

  1. Find the prime factors of the first number 1375.
    5, 5, 5, 11
  2. Find the prime factors of the second number 1001.
    7, 11, 13
  3. Multiply of all the common prime factors is the GCF value. Which is,
    11

Factors Method:

  1. Find the factors of the first number 1375.
    1, 5, 11, 25, 55, 125, 275, 1375
  2. Find the factors of the second number 1001.
    1, 7, 11, 13, 77, 91, 143, 1001
  3. The biggest common factor number is the GCF value. Which is,
    11

GCF (Greatest Common Factor) of 1375 and 1001 is 11.

GCD (Greatest Common Divisor) of 1375 and 1001 is 11.

HCF (Highest Common Factor) of 1375 and 1001 is 11.

Number GCF LCM
1375 & 996 1 1369500
1375 & 997 1 1370875
1375 & 998 1 1372250
1375 & 999 1 1373625
1375 & 1000 125 11000
1375 & 1001 11 125125
1375 & 1002 1 1377750
1375 & 1003 1 1379125
1375 & 1004 1 1380500
1375 & 1005 5 276375
1375 & 1006 1 1383250