GCF of 90 and 140

What is the GCF of 90 and 140?

GCF of 90 and 140

is 10

Formula How to
Share This Calculation:
Reference This Calculation:
Greatest Common Factor

What is the Greatest Common Factor of 90 and 140? 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 90 and 140 using those formula above, step by step instructions are given below

Prime Factorization Method:

  1. Find the prime factors of the first number 90.
    2, 3, 3, 5
  2. Find the prime factors of the second number 140.
    2, 2, 5, 7
  3. Multiply of all the common prime factors is the GCF value. Which is,
    10

Factors Method:

  1. Find the factors of the first number 90.
    1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90
  2. Find the factors of the second number 140.
    1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
  3. The biggest common factor number is the GCF value. Which is,
    10

GCF (Greatest Common Factor) of 90 and 140 is 10.

GCD (Greatest Common Divisor) of 90 and 140 is 10.

HCF (Highest Common Factor) of 90 and 140 is 10.

Number GCF LCM
90 & 135 45 270
90 & 136 2 6120
90 & 137 1 12330
90 & 138 6 2070
90 & 139 1 12510
90 & 140 10 1260
90 & 141 3 4230
90 & 142 2 6390
90 & 143 1 12870
90 & 144 18 720
90 & 145 5 2610
Calculations