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To find the greater common factor (GCF) of two ( or more) numbers, factorise each number.

Hence

126

has factors of 2,3,3,7

315

has factors of 3,3,5,7

The common factors are '3' , '3' again and '7'.

Multiply together

3 x 3 x 7 =

9 x 7 = 63 The GCF of 126, & 315.

NB The '2' & '5' are NOT common to both numbers.

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The GCF of 126 and 315 is 63.

Q: What is the greatest common factor of 126 and 315?

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the GCF is 105

The GCF is 105.

The greatest common factor (GCF) is often also called the greatest common divisor (GCD) or highest common factor (HCF). Keep in mind that these different terms all refer to the same thing: the largest integer which evenly divides two or more numbers.The greatest common factor of 315 and 525 is 105

315 has factors 3,3.5,7. 356 has factors of 2,2,89. There are no common factors between these two numbers , except '1'.

90 = 2x3x3x5210 = 2x3x5x7315 = 3x3x5x7GCF = 3x5 = 15

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Since 315 is a factor of 1575, it is automatically the GCF of this problem.