GCF of 1001 and 77

What is the GCF of 1001 and 77?

GCF of 1001 and 77

is 77

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Greatest Common Factor

What is the Greatest Common Factor of 1001 and 77? 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 1001 and 77 using those formula above, step by step instructions are given below

Prime Factorization Method:

  1. Find the prime factors of the first number 1001.
    7, 11, 13
  2. Find the prime factors of the second number 77.
    7, 11
  3. Multiply of all the common prime factors is the GCF value. Which is,
    77

Factors Method:

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

GCF (Greatest Common Factor) of 1001 and 77 is 77.

GCD (Greatest Common Divisor) of 1001 and 77 is 77.

HCF (Highest Common Factor) of 1001 and 77 is 77.

Number GCF LCM
1001 & 72 1 72072
1001 & 73 1 73073
1001 & 74 1 74074
1001 & 75 1 75075
1001 & 76 1 76076
1001 & 77 77 1001
1001 & 78 13 6006
1001 & 79 1 79079
1001 & 80 1 80080
1001 & 81 1 81081
1001 & 82 1 82082
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