What is the Greatest Common Factor of 97070 and 97074?

Greatest common factor (GCF) of 97070 and 97074 is 2.

GCF(97070,97074) = 2

We will now calculate the prime factors of 97070 and 97074, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97070 and 97074.

How to find the GCF of 97070 and 97074?

We will first find the prime factorization of 97070 and 97074. After we will calculate the factors of 97070 and 97074 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 97074

Prime factors of 97074 are 2, 3, 5393. Prime factorization of 97074 in exponential form is:

97074 = 2¹ × 3² × 5393¹

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 97074

List of positive integer factors of 97074 that divides 97070 without a remainder.

1, 2, 3, 6, 9, 18, 5393, 10786, 16179, 32358, 48537

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97070 and 97074. The biggest common factor number is the GCF number.
So the greatest common factor 97070 and 97074 is 2.

Also check out the Least Common Multiple of 97070 and 97074