What is the Greatest Common Factor of 77050 and 77070?

Greatest common factor (GCF) of 77050 and 77070 is 10.

GCF(77050,77070) = 10

We will now calculate the prime factors of 77050 and 77070, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77050 and 77070.

How to find the GCF of 77050 and 77070?

We will first find the prime factorization of 77050 and 77070. After we will calculate the factors of 77050 and 77070 and find the biggest common factor number .

Step-1: Prime Factorization of 77050

Prime factors of 77050 are 2, 5, 23, 67. Prime factorization of 77050 in exponential form is:

77050 = 2¹ × 5² × 23¹ × 67¹

Step-2: 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-3: Factors of 77050

List of positive integer factors of 77050 that divides 77050 without a remainder.

1, 2, 5, 10, 23, 25, 46, 50, 67, 115, 134, 230, 335, 575, 670, 1150, 1541, 1675, 3082, 3350, 7705, 15410, 38525

Step-4: Factors of 77070

List of positive integer factors of 77070 that divides 77050 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77050 and 77070. The biggest common factor number is the GCF number.
So the greatest common factor 77050 and 77070 is 10.

Also check out the Least Common Multiple of 77050 and 77070