What is the Greatest Common Factor of 97070 and 97087?

Greatest common factor (GCF) of 97070 and 97087 is 17.

GCF(97070,97087) = 17

We will now calculate the prime factors of 97070 and 97087, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97070 and 97087.

How to find the GCF of 97070 and 97087?

We will first find the prime factorization of 97070 and 97087. After we will calculate the factors of 97070 and 97087 and find the biggest common factor number .

Step-1: Prime Factorization of 97070

Prime factors of 97070 are 2, 5, 17, 571. Prime factorization of 97070 in exponential form is:

97070 = 2¹ × 5¹ × 17¹ × 571¹

Step-2: Prime Factorization of 97087

Prime factors of 97087 are 17, 5711. Prime factorization of 97087 in exponential form is:

97087 = 17¹ × 5711¹

Step-3: Factors of 97070

List of positive integer factors of 97070 that divides 97070 without a remainder.

1, 2, 5, 10, 17, 34, 85, 170, 571, 1142, 2855, 5710, 9707, 19414, 48535

Step-4: Factors of 97087

List of positive integer factors of 97087 that divides 97070 without a remainder.

1, 17, 5711

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97070 and 97087. The biggest common factor number is the GCF number.
So the greatest common factor 97070 and 97087 is 17.

Also check out the Least Common Multiple of 97070 and 97087