GCF for 100 and 150

What is the Greatest Common Factor of 100 and 150?

Answer: GCF of 100 and 150 is 50

(Fifty)

Finding GCF for 100 and 150 using all factors (divisors) listing

The first method to find GCF for numbers 100 and 150 is to list all factors for both numbers and pick the highest common one:

All factors of 100: 1, 2, 4, 5, 10, 20, 25, 50, 100

All factors of 150: 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

So the Greatest Common Factor for 100 and 150 is 50

Finding GCF for 100 and 150 by Prime Factorization

The second method to find GCF for numbers 100 and 150 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 100: 2, 2, 5, 5

All Prime Factors of 150: 2, 3, 5, 5

As we can see there are Prime Factors common to both numbers: 2, 5, 5

Now we need to multiply them to find GCF: 2 Γ— 5 Γ— 5 = 50

GCF Table

Number 1Number 2GCF
851505
861502
871503
881502
891501
90150
911501
921502
931503
941502
951505
961506
971501
981502
991503
100150
1011501
1021506
1031501
1041502
10515015
1061502
1071501
1081506
1091501
11015010
1111503
1121502
1131501
1141506

About "Greatest Common Factor" Calculator

This calculator will help you find the greatest common factor (GCF) of two numbers. For example, it can help you find out what is the Greatest Common Factor of 100 and 150? (The answer is: 50). Select the first number (e.g. '100') and the second number (e.g. '150'). After that hit the 'Calculate' button.
Greatest Common Factor (GCF) also known as the Greatest Common Divisor (GCD) or Highest Common Factor (HCF) - it is the largest positive integer that divides each of the integers with zero remainder

FAQ

What is the Greatest Common Factor of 100 and 150?

GCF of 100 and 150 is 50