What is the Greatest Common Factor of 9052 and 9070?

Greatest common factor (GCF) of 9052 and 9070 is 2.

GCF(9052,9070) = 2

We will now calculate the prime factors of 9052 and 9070, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9052 and 9070.

How to find the GCF of 9052 and 9070?

We will first find the prime factorization of 9052 and 9070. After we will calculate the factors of 9052 and 9070 and find the biggest common factor number .

Step-1: Prime Factorization of 9052

Prime factors of 9052 are 2, 31, 73. Prime factorization of 9052 in exponential form is:

9052 = 2² × 31¹ × 73¹

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 9052

List of positive integer factors of 9052 that divides 9052 without a remainder.

1, 2, 4, 31, 62, 73, 124, 146, 292, 2263, 4526

Step-4: Factors of 9070

List of positive integer factors of 9070 that divides 9052 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9052 and 9070. The biggest common factor number is the GCF number.
So the greatest common factor 9052 and 9070 is 2.

Also check out the Least Common Multiple of 9052 and 9070