What is the Greatest Common Factor of 90060 and 90070?

Greatest common factor (GCF) of 90060 and 90070 is 10.

GCF(90060,90070) = 10

We will now calculate the prime factors of 90060 and 90070, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90060 and 90070.

How to find the GCF of 90060 and 90070?

We will first find the prime factorization of 90060 and 90070. After we will calculate the factors of 90060 and 90070 and find the biggest common factor number .

Step-1: Prime Factorization of 90060

Prime factors of 90060 are 2, 3, 5, 19, 79. Prime factorization of 90060 in exponential form is:

90060 = 2² × 3¹ × 5¹ × 19¹ × 79¹

Step-2: Prime Factorization of 90070

Prime factors of 90070 are 2, 5, 9007. Prime factorization of 90070 in exponential form is:

90070 = 2¹ × 5¹ × 9007¹

Step-3: Factors of 90060

List of positive integer factors of 90060 that divides 90060 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 19, 20, 30, 38, 57, 60, 76, 79, 95, 114, 158, 190, 228, 237, 285, 316, 380, 395, 474, 570, 790, 948, 1140, 1185, 1501, 1580, 2370, 3002, 4503, 4740, 6004, 7505, 9006, 15010, 18012, 22515, 30020, 45030

Step-4: Factors of 90070

List of positive integer factors of 90070 that divides 90060 without a remainder.

1, 2, 5, 10, 9007, 18014, 45035

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90060 and 90070. The biggest common factor number is the GCF number.
So the greatest common factor 90060 and 90070 is 10.

Also check out the Least Common Multiple of 90060 and 90070