What is the Greatest Common Factor of 9064 and 9070?

Greatest common factor (GCF) of 9064 and 9070 is 2.

GCF(9064,9070) = 2

We will now calculate the prime factors of 9064 and 9070, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9064 and 9070.

How to find the GCF of 9064 and 9070?

We will first find the prime factorization of 9064 and 9070. After we will calculate the factors of 9064 and 9070 and find the biggest common factor number .

Step-1: Prime Factorization of 9064

Prime factors of 9064 are 2, 11, 103. Prime factorization of 9064 in exponential form is:

9064 = 2³ × 11¹ × 103¹

Step-2: Prime Factorization of 9070

Prime factors of 9070 are 2, 5, 907. Prime factorization of 9070 in exponential form is:

9070 = 2¹ × 5¹ × 907¹

Step-3: Factors of 9064

List of positive integer factors of 9064 that divides 9064 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 103, 206, 412, 824, 1133, 2266, 4532

Step-4: Factors of 9070

List of positive integer factors of 9070 that divides 9064 without a remainder.

1, 2, 5, 10, 907, 1814, 4535

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9064 and 9070. The biggest common factor number is the GCF number.
So the greatest common factor 9064 and 9070 is 2.

Also check out the Least Common Multiple of 9064 and 9070