What is the Greatest Common Factor of 77070 and 77090?

Greatest common factor (GCF) of 77070 and 77090 is 10.

GCF(77070,77090) = 10

We will now calculate the prime factors of 77070 and 77090, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77070 and 77090.

How to find the GCF of 77070 and 77090?

We will first find the prime factorization of 77070 and 77090. After we will calculate the factors of 77070 and 77090 and find the biggest common factor number .

Step-1: Prime Factorization of 77070

Prime factors of 77070 are 2, 3, 5, 7, 367. Prime factorization of 77070 in exponential form is:

77070 = 2¹ × 3¹ × 5¹ × 7¹ × 367¹

Step-2: Prime Factorization of 77090

Prime factors of 77090 are 2, 5, 13, 593. Prime factorization of 77090 in exponential form is:

77090 = 2¹ × 5¹ × 13¹ × 593¹

Step-3: Factors of 77070

List of positive integer factors of 77070 that divides 77070 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210, 367, 734, 1101, 1835, 2202, 2569, 3670, 5138, 5505, 7707, 11010, 12845, 15414, 25690, 38535

Step-4: Factors of 77090

List of positive integer factors of 77090 that divides 77070 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130, 593, 1186, 2965, 5930, 7709, 15418, 38545

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77070 and 77090. The biggest common factor number is the GCF number.
So the greatest common factor 77070 and 77090 is 10.

Also check out the Least Common Multiple of 77070 and 77090