What is the Greatest Common Factor of 9070 and 9088?

Greatest common factor (GCF) of 9070 and 9088 is 2.

GCF(9070,9088) = 2

We will now calculate the prime factors of 9070 and 9088, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9070 and 9088.

How to find the GCF of 9070 and 9088?

We will first find the prime factorization of 9070 and 9088. After we will calculate the factors of 9070 and 9088 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 9088

Prime factors of 9088 are 2, 71. Prime factorization of 9088 in exponential form is:

9088 = 2⁷ × 71¹

Step-3: Factors of 9070

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

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

Step-4: Factors of 9088

List of positive integer factors of 9088 that divides 9070 without a remainder.

1, 2, 4, 8, 16, 32, 64, 71, 128, 142, 284, 568, 1136, 2272, 4544

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9070 and 9088. The biggest common factor number is the GCF number.
So the greatest common factor 9070 and 9088 is 2.

Also check out the Least Common Multiple of 9070 and 9088