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# What are the greatest common factors of 49 and 112?

There is neither a greatest common factor nor common factors of a single number, such as 52, because there cannot be any form of common factor without two or more numbers to compare. Common factors are factors that the numbers being compared have in common. The greatest common factor is the largest factor that all the numbers being compared have in common. Thus, since there are not two or more numbers to compare, there are neither common factors nor a greatest common factor.

The factors of 52 are 1, 2, 4, 13, 26, and 52.

The prime factors of 52 are 2, 2, and 13.

Examples:

The common factors of 8 and 52 are 1, 2, and 4.

The common factors of 39 and 52 are 1 and 13.

The common factors of 52 and 78 are 1, 2, 13, and 26. Study guides

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## A number a power of a variable or a product of the two is a monomial while a polynomial is the of monomials

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• Factors of 112: 1, 2, 4, 7, 8, 14, 16, 28, 56, 112.
• Factors of 1000: 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 125, 200, 250, 500, 1000.
GCF (112, 1000) = 8 The factors of 98 are:

1, 2, 7, 14, 49, 98

The factors of 112 are:

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

The common factors are:

1, 2, 7, 14

The Greatest Common Factor:

GCF = 14 The factors of 52 are:

1, 2, 4, 13, 26, 52

The factors of 91 are:

1, 7, 13, 91

The common factors are:

1, 13

The Greatest Common Factor:

GCF = 13 Common factors of 49 and 112 are: 1 and 7. The factors of 112 are 1, 2, 4, 7, 8, 14, 16, 28, 56, 112. For them to be common, they need to be compared to another set of factors. You need at least two numbers to find a GCF. The greatest common factor of 52 and 112 is 4. The GCF is 13. The GCF is 4. It are 13.  Earn +20 pts  