What is the Greatest Common Factor of 77070 and 77075?

Greatest common factor (GCF) of 77070 and 77075 is 5.

GCF(77070,77075) = 5

We will now calculate the prime factors of 77070 and 77075, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77070 and 77075.

How to find the GCF of 77070 and 77075?

We will first find the prime factorization of 77070 and 77075. After we will calculate the factors of 77070 and 77075 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 77075

Prime factors of 77075 are 5, 3083. Prime factorization of 77075 in exponential form is:

77075 = 5² × 3083¹

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 77075

List of positive integer factors of 77075 that divides 77070 without a remainder.

1, 5, 25, 3083, 15415

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77070 and 77075. The biggest common factor number is the GCF number.
So the greatest common factor 77070 and 77075 is 5.

Also check out the Least Common Multiple of 77070 and 77075