GCF for 37 and 74

What is the Greatest Common Factor of 37 and 74?

Answer: GCF of 37 and 74 is 37

(Thirty-seven)

Finding GCF for 37 and 74 using all factors (divisors) listing

The first method to find GCF for numbers 37 and 74 is to list all factors for both numbers and pick the highest common one:

All factors of 37: 1, 37

All factors of 74: 1, 2, 37, 74

So the Greatest Common Factor for 37 and 74 is 37

Finding GCF for 37 and 74 by Prime Factorization

The second method to find GCF for numbers 37 and 74 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 37: 37

All Prime Factors of 74: 2, 37

As we can see there is only one Prime Factor common to both numbers. It is 37

So 37 is the Greatest Common Factor of 37 and 74

Related Calculations

GCF Table

Number 1Number 2GCF
22742
23741
24742
25741
26742
27741
28742
29741
30742
31741
32742
33741
34742
35741
36742
3774
38742
39741
40742
41741
42742
43741
44742
45741
46742
47741
48742
49741
50742
51741

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 37 and 74? (The answer is: 37). Select the first number (e.g. '37') and the second number (e.g. '74'). 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 37 and 74?

GCF of 37 and 74 is 37